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

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Question 1019885: Obtain the equations of the circles which touch the y axis and pass through the points (2,5) and (4,3)
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Question 1019885: Obtain the equations of the circles which touch the y axis and pass through the points (2,5) and (4,3)
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Question 1020603: The circumference of a circle is pi/2. What is the area of the circle? Leave your answer in terms of pi.

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Question 1020921: A circle whose centre lies on the line y=3x-1, touches both axes. Find the equation of the circle, which I found to be 4x^2+4y^2-4x-4y+1=0 and find the points where the circle intersects the line 2y+x=1.
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Question 1020926: The circle x^2+y^2+2x-4y-11=0 and the line x-y+1=0 intersect at A and B. Find the equation of the circle having AB as diameter.
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Question 1020932: Find the distance between two parallel tangents of circle of radius 4 cm
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Question 1020980: A circle is inscribed in a square as shown. In terms of the radius, r, determine each of the following ratios.
a) the area of the square to the area of the circle.
b) the perimeter of the square to the circumference of the circle.
4
-
π is the answer to both, but I don't know how to get to it. Thanks for answering!
http://i410.photobucket.com/albums/pp186/anentities/2E1E41E8-C61B-46BB-BA25-4AF907D931D7_zps3qqjpshu.jpg
is the picture of the diagram.

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Question 1020975: The diagram shows that x is the radius of the large circle and the diameter of the small circle. Write the ratio of the area of the large circle to the area of the area of the small circle. Simplify the expression.
http://i410.photobucket.com/albums/pp186/anentities/2E1E41E8-C61B-46BB-BA25-4AF907D931D7_zps3qqjpshu.jpg
Is a picture of the diagram and question. I know that the answer is 4, but I have absolutely no clue how to get to it. Thank you very much for answering! :)

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Question 1021124: find the area of the circular segment to the nearest whole number of a circle of radius 2cm that subtends a central angle of 35 degrees
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Question 1021046: if Segment AC and segment BD are chords intersecting in a circle find:
Measurement of angle x if measurement of arc AB + measurement of arc CD are equal to 230 degrees.

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Question 1021170: :- X and Y are centers of circles of radius 9 cm and 2 cm and XY = 17cm. Z is the centre of a circle of radius 4 cm, which touches the above circles externally. Given that ∠XZY=90o, write an equation in r and solve it for r.

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Question 1021363: Find an equation of the circles with center whose x-coordinate is twice the y-coordinate.
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Question 1021342: If arc MN is 98 degrees, and arc LO is 86 degrees, find the measurement of angle MYL.
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Question 1021364: Find the equation of the circles which is tangent to the line 5x+y=1. Identify and sketch three members of the family of circles

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Question 1021580: A bucket is raised from a well by means of a rope which is wound round a wheel of diameter 77 cm. Given that the bucket ascents in 1 minute 28 seconds, with a uniform speed of 1.1m/sec, calculate the no. of complete revolutions the wheel makes in raising the bucket.
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Question 1021677: The circumference of the circle show below is 54 centimeters which expression gives the length in centimeters of XY

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Question 1021759: A pizza with a diameter of 24 inches is cut into 16 equal slices. To the nearest square inch, what is the area of each slice of the pizza?
A. 57 in2
B.28 in2
C.5 in2
D.9in2

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Question 1022137: The centre of a circle is at (2,6) and a chord of this circle of length 24 unit is bisected at (-1,2).Find the radius of the circle.
Click here to see answer by josgarithmetic(39613) About Me 
Question 1022137: The centre of a circle is at (2,6) and a chord of this circle of length 24 unit is bisected at (-1,2).Find the radius of the circle.
Click here to see answer by solver91311(24713) About Me 

Question 1022146: What is the center and the radius?
(x+1)^2+(y-3)^2=25
Center is 1,-3 radius is 25?? am i correct

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Question 1022148: what would be the center
and raduis?
http://imgur.com/NEnWaK5
what i think center 2,5 radius 9 correct?

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Question 1022147: A central angle of a circle that measures n/3 rads intercepts an arc that is 6 cm. What is the radius of the circle?
Click here to see answer by FrankM(1040) About Me 

Question 1022338: Hello,
Can someone please help me with the following question:
Given the information with the image below:
circle is: +x%5E2+%2B+y%5E2=625
and
the equation for AC is: +y=3%2F4+x
Find the points A and C
Find the equation BD
Find the points B and D
Find the area and perimeter of the square.
I have the answers but am not sure how to get them.
Thanks.

(the answers are: A=-20,-15 C=20,15 BD: y=-3/4 x B=-15,20 D=15,-20 area:1250 per: 141.42)

 photo math001.jpg

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Question 1022453: If the areas 4pi inches square what is the diameter of the circle
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Question 1023004: Equation of the circle inscribed on a triangle whose sides are 3x-4y=19, 4x+3y=17, and x+7=0
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Question 1023328: If BCD = 15 centimeters, complete the following, round to the nearest tenth.
mBCD = ?

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Question 1023328: If BCD = 15 centimeters, complete the following, round to the nearest tenth.
mBCD = ?

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Question 1023620: Determine the general solution if:cos2x-5cosx-2=0
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Question 1023668: Points A(2, 1) and B (4, -5) like on a circle. If line 2x-y-13=0 is a tangent to the circle at B, find the coordinates of the centre of the circle and equation of the circle
Click here to see answer by josgarithmetic(39613) About Me 
Question 1023668: Points A(2, 1) and B (4, -5) like on a circle. If line 2x-y-13=0 is a tangent to the circle at B, find the coordinates of the centre of the circle and equation of the circle
Click here to see answer by MathTherapy(10549) About Me 

Question 1023846: Inscribed circle in a triangle. Sample problem.
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Question 1024009: the centers of two circles of radii 3 and 5 are 17 units apart. find the lengh of a common external tangent

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Question 1024009: the centers of two circles of radii 3 and 5 are 17 units apart. find the lengh of a common external tangent

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Question 1024055: Given the circle's equation which is (x+4)^2+(y+8)^2=136 and the point of tangency which is (2,2), find the slope of the tangent.
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Question 1024052: Find the slope of a line tangent to the circle with a center (8,-7) and intersects at point (5,-5).
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Question 1024054: A line tangent to a circle with a center (-9,6) intersects at point (-2,5). Find the equation of the tangent.
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Question 1024216: Let y be a circle with center A and radius of length r. Let y' be another Circle with center A' and radius of length r', and let d be the distance from A to A' (seeFigure3.43). There is a hypothesis about the numbers r, r', and d that ensures that the circles y and y' intersect in two distinct points. Figure out what this hypothesis is. (Hint: It's statement that certain
Numbers obtained from r, r', and d are less than certain others.)·
What hypothesis on r, r', and d ensures that y and y' intersect in only one point, i.e., that the circles are tangent to each other?(See Figure
3.44.)

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Question 1024329: I have 26 posts. I need to know how far apart should they be placed from center to center to male a 360° circle?
Click here to see answer by josmiceli(19441) About Me 

Question 1024781: Determine an equation of a circle that satisfies the given conditions. Congruent to the graph of x^2+y^2=25 and translated 3 units downward.
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Question 1024864: Figure PQR is an equilateral triangle with a semicircle added to its base.

What is the perimeter of figure PQR? Use 3.14 to approximate pi.
https://static.k12.com/calms_media/media/1571000_1571500/1571377/1/f1336369a6581fc513c37a95c47e29ea4b5b2e5f/MS_IMB-1401212-1110905.jpg

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Question 1025017: A=pie r squared, rewrite the formula in terms of r
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Question 1026673: Find the equation of the circle which passes through the origin and touches the straight line 4x-3y=5 at (2,1)

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Question 1026719: The equation x^2+y^2-2x-4y-4=0 represents a circle. What are the coordinates for the center of the circle? What is the length of the radius of the circle?
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Question 1027458: Show me step by step how to find the area of the shaded part of a circle?
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Question 1027543: Find the area of shaded portion ...when in a square there is a circle and the radius of a circle is 7cm?
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