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

Tutors Answer Your Questions about Circles (FREE)

Question 995650: Write the statement as an equation. (Use k as the constant of variation.)
W varies jointly with r and the square of s.
W=???
Click here to see answer by Theo(13342)

Question 996945: The line A has slope 3/4 and passes through the point (1,4). If the line A is tyangent to the circle whose center is at (1,2), which of the following points is on the circle?
Click here to see answer by josgarithmetic(39613)

Question 996968: A dart board has a diameter of 40 cm and is divided into 20 congruent sector.What is the area of one of the sector?
Click here to see answer by fractalier(6550)

Question 997067: Catherine designed a pendant. It is a regular hexagon set in a circle.
Suppose the opposite vertices are connected by line segments and
meet at the center of the circle. What is the measure of each angle
formed at the center? please help me thatk you
Click here to see answer by Theo(13342)

Question 997071: A bicycle chain fits tightly around two gears. What is the distance between the centers of the gears
if the radii of the bigger and smaller gears are 9.3 inches and 2.4 inches, respectively, and the
portion of the chain tangent to the two gears is 26.5 inches long?
Click here to see answer by ikleyn(52748)

Question 997072: A dart board has a diameter of 40 cm and is divided into 20 congruent
sectors. What is the area of one of the sectors?. please help me answer this
Click here to see answer by Theo(13342)

Question 997043: What is the measure of minor arc AB?
http://imgur.com/q3KpkZn
Thank you! :)
Click here to see answer by Theo(13342)

Question 997069: Mr. Javier designed an arch made of
bent iron for the top of a school�s main
entrance. The 12 segments between
the two concentric semicircles are
each 0.8 meter long. Suppose the
diameter of the inner semicircle is 4
meters. What is the total length of the
bent iron used to make this arch?
please help me to solve this problem, thatk you
Click here to see answer by KMST(5328)

Question 996970: A bicycle chain fits tightly around two gears. What is the distance between the
centers of the gears if the radii of the bigger and smaller gears are 9.3 inches
and 2.4 inches, respectively, and the portion of the chain tangent to the two
gears is 26.5 inches long?
Click here to see answer by KMST(5328)

Question 997080: Mr. Javier designed an arch made of
bent iron for the top of a school�s main
entrance. The 12 segments between
the two concentric semicircles are
each 0.8 meter long. Suppose the
diameter of the inner semicircle is 4
meters. What is the total length of the
bent iron used to make this arch?
please help me to solve this problem, please help me. thank you
Click here to see answer by KMST(5328)

Question 997376: Find the center and radius of the circle described by the given equation. Then find the relation's domain and range. (Hint: Graphing will help to find the domain and range.)
(x-2)^2 + (y + 7)^2 = 36

The domain is ???.
The range is ???.
Click here to see answer by addingup(3677)

Question 997373: Complete the square to find the standard form of the given equation. Then give the center and radius of the circle.
x^2 + y^2 - 3 x + 6 y + 9 = 0
The equation in standard form is ??? = ???.
The center is ???.
The radius is ???.
Click here to see answer by josgarithmetic(39613)

Question 997374: Complete the square to find the standard form of the given equation. Then give the center and radius of the circle.
x^2 + 12 x + y^2 - 45 = 0
The equation in standard form is ??? = ???.
The center is ???.
The radius is ???.
Click here to see answer by josgarithmetic(39613)

Question 997375: Complete the square to find the standard form of the given equation. Then give the center and radius of the circle.
x^2 + y^2 + 16 x - 10 y + 40 = 0
The equation in standard form is ??? = ???.
The center is ???.
The radius is ???.
Click here to see answer by josgarithmetic(39613)

Question 997372: Find the center and radius of the circle whose diameter has the given endpoints. Then use your answers to find the standard form of the equation of the circle.
The endpoints of the diameter are (4, 7) and (6, 15).
The center is ???.
The radius is ???.
The equation in standard form is ??? = ???.
Click here to see answer by josgarithmetic(39613)

Question 997397: Complete the square to find the standard form of the given equation. Then give the center and radius of the circle.
x^2 + y^2 + 16 x - 10 y + 40 = 0
The equation in standard form is ???.
The center is ???.
The radius is ???.
Click here to see answer by josgarithmetic(39613)

Question 997398: Complete the square to find the standard form of the given equation. Then give the center and radius of the circle.
x^2 + 12 x + y^2 - 45 = 0
The equation in standard form is ??? = ???.

The center is ???.
The radius is ???.
Click here to see answer by josgarithmetic(39613)

Question 997399: Complete the square to find the standard form of the given equation. Then give the center and radius of the circle.
x^2 + y^2 - 3 x + 6 y + 9 = 0
The equation in standard form is ??? = ???.
The center is ???.
The radius is ???.
Click here to see answer by josgarithmetic(39613)

Question 998012: Write the answer in "pi": find the length of arc AB when the measure of the arc is 70� and the radius of the circle is 10.
what I tried: 70/360*circumference.
Click here to see answer by mananth(16946)

Question 998013: Write answer in terms of "pi": Find the length of arc AB what the measure of the inscribed angle = 40� and the radius being 20.
Click here to see answer by fractalier(6550)

Question 998520: I have gotten an answer on this before but I don't understand it.
Questions:

1. Write answer in terms of "pi": Find the length of arc AB with the measure of the inscribed angle = 40� and the radius being 20.
2. Write the answer in "pi": find the length of arc AB when the measure of the arc is 70� and the radius of the circle is 10.
I would like in depth explanation of this please.
Click here to see answer by MathLover1(20849)

Question 1000073: ABCDEFGH is a regular octagon. Work out the value of x. Explain your geometric reasoning clearly and logically.
Click here to see answer by fractalier(6550)

Question 1000381: Good day, Can you please help me with this problem?
Find the area of a cyclic quadrilateral whose two sides measure 4 and 5 units and whose diagonal coincides with a diameter of the circle. Suppose the radius of the circumscribing circle is 2√3 units.
Thank you so much!
Click here to see answer by vleith(2983)

Question 1000380: Good day! Can you help me with this problem?

Find the area of the portion of a semicircle of radius 15 meters that is outside the area of an inscribed square if the base of the square lies on the diameter of the semicircle.

Thank you
Click here to see answer by KMST(5328)

Question 1000378: Good day! Can you help me with my homework? Here's the question
An equilateral triangle is circumscribed about a circle of radius of 10√3 cm. What is the perimeter of the triangle?

Thank you
Click here to see answer by stanbon(75887)

Question 1000379: Good day! Can you help me with this problem?
Determine the area of the segment of the circle if the length of the chord is 15 inches and located 5 inches from the center of the circle.

thank you
Click here to see answer by Edwin McCravy(20054)

Question 1000793: A circle with the radius of 20cm. Has a semi circle with the radius of 10cm. Find the Area of the complete circle and find the area of the semi circle. Then Find the perimeter for the entire circle
Click here to see answer by josgarithmetic(39613)

Question 1000901: A circle has a radius of 1 inch. What is the length in inches of an arc subtendend by a central angle of 130�
Click here to see answer by Edwin McCravy(20054)

Question 1000915: Suppose the circumference of a circle is 12π. What is its area?
Click here to see answer by Alan3354(69443)

Question 1000974: x^2 + y^2 = r^2

so what is x^2 + y^2 = square root of 25?
r2= square root of 25?
Click here to see answer by fractalier(6550)

Question 1001159: Find the center and radius of x^2+ y^2=14
Click here to see answer by Cromlix(4381)

Question 1002056: Write an equation of the circle with a radius of 6 units and is tangent to the line y=1 at (10,1).
Click here to see answer by josgarithmetic(39613)

Question 1002064: A circle defined by the equation (x-6)^2 + (y-9)^2=34 is tangent to a line at the point (9,4).what is the equation of the line?
Click here to see answer by josgarithmetic(39613)

Question 1002089: Please help me solve the following:
Consider the equation given below.
x^2 + y^2 + 6x − 10y − 1 = 0
Complete the square in order to put the equation into standard form.
Thank you!!!
Click here to see answer by rothauserc(4718)

Question 1002586: Find x such that (x,2) is 4 units from (3,-3)
Click here to see answer by josgarithmetic(39613)

Question 1002587: Please mention the steps: Find x such that (x,2) is 4 units from (3,-3)
Click here to see answer by josgarithmetic(39613)

Question 1003174: An inner diameter of a car is 9/4 cm and thickness of tyre is 5/7 cm .what is outer radius of the tyre?

Click here to see answer by Cromlix(4381)

Question 1003174: An inner diameter of a car is 9/4 cm and thickness of tyre is 5/7 cm .what is outer radius of the tyre?

Click here to see answer by Alan3354(69443)

Question 1003367: Consider two circles, a smaller one and a larger one. If the larger one has a radius that is 2 feet larger than that of the small circle and the ratio of the circumference is 3:1, what are the radii of the two circles?
I know that the circumference is C=2"Pi"r but how am I solving this when the circumference is in ratio form and one ratio is 2 feet larger? I tried to figure it out with diameter (d=2*r) but I don't know the diameter either. I also tried referring to this guide(http://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.310984.html) as well since it was useful in a previous problem but not so with the above one.
Click here to see answer by ikleyn(52748)

Question 1003369: Please help me with this. I've done similar problems when I was just calculating for how much to invest of two different percentages, but having to calculate the total interest is throwing me off:
Wendy was awarded a volleyball scholarship to the University of Michigan, so on graduation her parents gave her the $17,000, they had saved for her college tuition. She opted to invest some money in a privately held company that pays 10% per a year, and evenly split the remaining money between a money market account yielding 2% and a high risk stock that yielded 40%. At the end of the first year she had $19,910 total. How much did she invest in each of the three?
_____ @ 10%
______@ 2%
______@ 40%
Click here to see answer by maxitee(11)

Question 1003510: If r = 4in, what is the area of a semicircle, rounded to the nearest tenth?
Click here to see answer by fractalier(6550)

Question 1003581: Find the angle at the centre of the sector,
When the perimeter is 64 cm and radius is 21cm.
Click here to see answer by josgarithmetic(39613)

Question 1004091: Hello,
https://41.media.tumblr.com/1fd27451b7a59a9945623952b1619048/tumblr_nxxim54oWT1sk9a5ho1_1280.jpg
Here's a URL link to the problem. (I wasn't sure how to translate it into text). I've got x=60 degrees, but I still need to find y.
Thanks so much to anyone who helps!
Click here to see answer by MathLover1(20849)

Question 1004255: the circle has a radius of 15 m find the length of a chord corresponding to a 60 degree arc.
Click here to see answer by Alan3354(69443)

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