Questions on Geometry: Circles and their properties answered by real tutors!

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Question 1040210: 1. Find the equation of the circle circumscribe the triangle determined by the line y=0, 2x+3y-15=0 and x-y=0
2. Determine the equation of the circle containing the points (-1,-1) , (3,-1) with the line x+2y-3=0 passing through the center.
I REALLY NEED HELP PLEASE.

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Question 1040213: IT'S FOR MY PRE-CALCULUS PLEASE HELP ME!
1. Find the equation of the circle circumscribe the triangle determined by the line y=0, 2x + 3y - 15 = 0 and x-y=0
2. Determine the equation of the circle containing the points (-1,-1) , (3,-1) with the line x+2y-3=0 passing through the center.
I REALLY NEED HELP PLEASE.

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Question 1040236: Determine the equation of the circle containing the points (-1,-1) , (3,-1) with the line x+2y-3=0 passing through the center.
I REALLY NEED HELP PLEASE.

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Question 1040357: Two circles C1 and C2 touch each other internally at P. Two lines PCA and PDB meet the circles C1 in C,D and C2 in A,B respectively. if angle BDC = 120, then the value of angle ABP is equal to
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Question 1040451: Find the vertex, focus and directrix of the parabola given by each equation. Sketch the graph.
a. x^2 = -4y
b. (y+4)^2 = -4(x-2)
c. x+y^2-3y+4 = 0

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Question 1040449: Find the equation in standard form of the parabola with vertex at (-1, 2) and focus (-1,3)
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Question 1040448: Find the equation in standard form of the parabola with vertex at the origin and focus (0, -4)
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Question 1040509: Points (–12, 1) and (2, 3) are endpoints of the diameter of a circle.
(a) What is the length of the diameter? Give the exact answer, simplified as much as possible.
Show work. answer_____
(b) What is the center point C of the circle? answer_____
(c) Given the point C you found in part (b), state the point symmetric to C about the x-axis.
answer_______

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Question 1040551: Center at (-2,3) tangent to the x-axis
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Question 1040552: Center at (-4,3), tangent to the line y= -4x-30
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Question 1040552: Center at (-4,3), tangent to the line y= -4x-30
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Question 1040552: Center at (-4,3), tangent to the line y= -4x-30
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Question 1040661: Find the equation of the circle if a triangle whose sides lie on the lines 3x+4y=8, 3x-4y=32 and x-8=0 inscribed the circle.
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Question 1040743: Find the equation of the circle when a triangle whose sides lie on the lines 3x+4y=-8, 3x-4y=32, and x-8=0 inscribed the circle.
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Question 1041238: Find the center of the circle with points (-7,0) , (-3,4) , and (7,0).
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Question 1041481: The radius of a circle is 5 cm and a chord of it is at a distance of 4 cm from the center. What is the length of the chord in cm?
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Question 1041504: The circle passes through the points (-4,8),(4,-4), and(3,-9).
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Question 1041658: write the equation of the line tangent to the circle x^2 +y^2=169 at the point (-5,12)
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Question 1041771: Find the equation of the circle passing through the points (1 -2), (5 4) and (10 5)
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Question 1041813: if there is an equilateral triangle of side 20 cm if 10 identical circle placed inside the triangle such that no two circle overlap or no circle cuts any side of the triangle. find the radius of each circle
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Question 1041813: if there is an equilateral triangle of side 20 cm if 10 identical circle placed inside the triangle such that no two circle overlap or no circle cuts any side of the triangle. find the radius of each circle
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Question 1041938: There are two circles, C of radius 1 and Cr of radius r, which
intersect on a plane. At each of the two intersecting points on
the circumferences of C and Cr, the tangent to C and that to Cr
form an angle of 120° outside of C and Cr.
1) Express the distance d between the centers of C and Cr in
terms of r.
2) Calculate the value of r at which d in (1) attains a minimum.
3) in case (2), express the area of the intersection of C and Cr in
terms of the constant p.

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Question 1042066: A circular swimming pool of diameter 4 m is to be built on a rectangular lawn 15 m by 10 m. What area of the lawn will remain? (Take pie as 3.14)
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Question 1042068: The radii of the two circles are 52 mm and 48 mm. Taking pie=3.14, calculate the shaded area
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Question 1042067: A circular disc of radius 6 cm is cut out from a larger circular disc of radius 12 cm. Find the remaining area. (Take pie as 3.14)
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Question 1042235: The figure below represents a semicircle with diameter AB and centre O. The radius of the semicircle is 3 cm. Taking pi to be 3.14, calculate
a) the area of the shaded figure
b) the perimeter of the shaded figure

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Question 1042235: The figure below represents a semicircle with diameter AB and centre O. The radius of the semicircle is 3 cm. Taking pi to be 3.14, calculate
a) the area of the shaded figure
b) the perimeter of the shaded figure

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Question 1042410: Use this photo: https://byuis.brainhoney.com/Resource/46824921,0/Assets/Media/Images/GEOM043_SB-5-4.jpg
a) Calculate the circumference of circle Q.
b) Approximate the area of the circle segment bounded by line DE and arc DE. (Hint: Use trigonometry as needed.)
c) Calculate the length of arc DE.
d) Calculate the area of circle Q.
e) Calculate the area of the sector bounded by line DQ, line EQ, and arc DE.

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Question 1042408: The original "Ferris" wheel, designed by George Washington Gale Ferris Jr., was built for the World's Columbian Exposition of 1893 in Chicago, Illinois.
There were 36 fully enclosed gondolas passenger cars that carried up to 40 passengers. This "Ferris" wheel eventually left Chicago and was relocated in St. Louis, Missouri in time for the 1904 Louisiana Purchase Exposition. On May 11, 1906, it was demolished using a dynamite charge and sold for scraps. The circumference of the "Ferris" wheel had to be large enough to allow for an arc length of 21.94 feet between each gondola. What was the circumference of the original "Ferris" wheel?* Round to the nearest whole number.

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Question 1042437: The circumference of a circle A is twice the circumference of circle B,what is the area of circle A and circle B?
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Question 1042619: A cell phone tower has a circular coverage pattern that transmits out for 3 miles.
a. What is the radius and the diameter of the coverage?
b. What geographical features in the city would represent secant and/or tangent lines in relationship to the circular coverage?
c. Using the terms of geometry, what section of the secant line would represent the portion that would have cell coverage?
d. If the cell tower is 2 miles east and 3 miles north of the center of the city, what would the equation be for the circle representing the cell coverage?
Please answer thoroughly. Thank you for you time.

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Question 1042614: A pony ride at a carnival gives the children rides in a circular pattern. The pony can only walk 500 feet before it needs to drink some water or it will become very ill. The radius of the circle is 15 feet.
Use pi = 3.14 and approximate answers to one decimal place.
a. How many feet does the pony walk in one ride around the circle?
b. How many times can the pony give a ride before it needs a drink?
You want to cover the rectangular area outside the circle in grass. The rectangle area is 45 feet long and 30 feet wide.
c. What is the area of the rectangle?
d. What is the area of the circular ride?
e. What is the area needed for grass?
Can you please explain each part? That would be amazing! Thanks in advance for your time!

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Question 1042494: In the circle below, chord CD intersect chord AB at E
http://i.imgur.com/4STGEkQ.jpg
If the measure of angle BED= 50 degrees, what is the sum of measure of arc BC and measure of arc DA?

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Question 1042648: Find the standard equation of a circle which is centered at (-4,3) and tangent to the line y=-4x-30
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Question 1042648: Find the standard equation of a circle which is centered at (-4,3) and tangent to the line y=-4x-30
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Question 1042648: Find the standard equation of a circle which is centered at (-4,3) and tangent to the line y=-4x-30
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Question 1042997: A piece of wire measuring 48 feet long is cut into two pieces of equal length.
One piece is bent into an equilateral triangle and the other is bent into a circle.
What is the combined area of the two shapes?

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Question 1043157: Explore all the sector properties of great and small circles
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Question 1043238: Toms company supplies circular cover plates for recessed can lights. How many plates with a 1 ft radius can be made from a 4ft by 8 ft sheet of stainless steel? What percentage of the steel will be available for recycling?
Diagram necessary.
Thank you.

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Question 1043271: A bike is traveling 10 mph. Determine number of revolutions the wheels make in 1 min.
Diameter of wheels: 28 in.
My partial attempt:
Circumference of circle: pi * diameter.
3.1416 * 28 = 87.9648 = 88 in. = 7.33 ft.
In 1 revolution the wheels travel 7.33 ft.
7.33 / 5280 = .00138 mi.
How do I proceed?
Non-homework.

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Question 1043472: Determine the percentage of the Earth's circumference lies within a satellite's transmission range if the satellite is 30250km above Earth surface. (Note: Earth's radius is approximately 6387km)
Thank you

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Question 1043513: The centre of a circle passing through the points(0,0) , (1,0) and touching the circle x^2+y^2=9
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Question 1043513: The centre of a circle passing through the points(0,0) , (1,0) and touching the circle x^2+y^2=9
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Question 1043569: A) One central angle of a circle is triple the measure of another central angle. What other information does this enable you to know?
B) Prove why an inscribed angle subtended by a diameter is a right angle.

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Question 1043644: http://i.imgur.com/Ng3QBXW.jpg
In the figure above, each of two circles has the same center O.If OP:OQ 3:5 and the area of the shaded region is 40. what is the area of the larger circle?

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