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

Tutors Answer Your Questions about Circles (FREE)

Question 48252: I need help solving the following problems:
1. A circle fits exactly inside the boundry of a square. If the square is 8cm on a side, what is the area of the shaded region inside the square? Express your answer as an exact value. Put the unit cm squared after the answer.
I need to know how to set up the problem to solve it, I can't figure it out.
2. Find the area of a circle, as an approximation to the nearest square foot, fi the diameter is 2ft. Enter the unit ft squared after your answer. When rounding, round up if the next decimal is five or greater.

Click here to see answer by Earlsdon(6287)

Question 48653: Here are a few problems that were given as a summer test in preparation for AP Calculus. I would appreciate it if I could recive soem help. The test is due tommorrow. Thank you in advance for your help.
2. The three sides of a triangle are 9 inches, 11 inches, and 12 inches. Joining the midpoints of the sides of the original triangle forms a new triangle. Find the perimeter of the new triangle.
7. The hypotenuse of a right triangle is 15 inches, and the altitude upon the hypotenuse is 6 inches. Find the segme, ts of the hypotenuse.
8. A chord AB is 12 inches; E is its midpoint. Another chord, CD, 13 inches in length, cuts AB at E. Find CE and ED.
14. Find the circumference of a circle if an inscribed angle of 18 degrees intercepts an arc 6 inches long.
Thanks agian
Click here to see answer by stanbon(57361)

Question 48683: 1. The wheel of a wheelbarrow rotates 60 times when it is pushed a distance of 50 metres. Calculate the radius of the wheel, giving you answer to the nearest millimetre.
2. The wheel on Pip's bicycle has a diameter of 66 cm. Pip cycles a distance of 1000 cm. How many complete rotations does the wheel make?
Click here to see answer by atif.muhammad(135)

Question 49201: a cicle with 1 point has 1 region. 2 points connected by a line hs 2 regions, a cicle with 3 points connected by lines to each point has 4 regions. a circle with 4 points connected to each point has 8 regions a cicle with 5 pionts connected to each point has 16 regions how many regions with 6 and 7 points? and what rule can be determinrd from all the data?
Click here to see answer by Earlsdon(6287)

Question 49556: Hi this is a question in my summer review packet. I have forgotton how to figure it out if you could help that would be great.
The radius of a circle is 15 centimeters. Find the arc length of a sector with an arc measure of 120 degrees.
Click here to see answer by checkley71(8403)

Question 49774: I have a perfect circle inscribed inside of a perfect square where the sides of the square are tangent to the circle. In one corner of the square is a rectangle that ia 140mm x 70mm. The rectangle is perfectly squared in the corner and the bottom corner just touches the outside of the circle.
What is the diameter of the circle?
Click here to see answer by venugopalramana(3286)

Question 49718: i need to find and equation for the circle it had a center(3,0) and has a radius of 9
Click here to see answer by rapaljer(4667)

Question 50124: A drinking glass is in the shape of a cylinder that is 60mm in diameter and 15cm tall. How many cubic centimeters of water will it hold?
Click here to see answer by stanbon(57361)

Question 50936: I have this math problem. The area of a circle is 25 square meters. Find the radius of the circle. What I don't understand is how to solve for r, and the answer has numbers to the hundredth place...
Click here to see answer by Earlsdon(6287)

Question 51419: How do you draw a ying yang with a Compass?
Click here to see answer by rchill(405)

Question 51620: Good evening, I would like to ask you from this problem. Please Help me in this.
1)The circumference of front wheel of a cart is 30 ft long and that of the back wheel is 36 ft long. What is the distance travelled by the cart, when the front wheel has done five more revolutions than the rear wheel.

From Yours poor student
E'ma modi
Click here to see answer by checkley71(8403)

Question 53996: ok I can't figure out this problem please help!
The area of a 60 degree circle is 36 pi cm squared. What is the diameter of the circle?
please help! thanks
Click here to see answer by stanbon(57361)

Question 54267: find the center and radius of the circle given by x(squared)- 4x + y(squared) -6y + 12 = 0
Click here to see answer by Nate(3500)

Question 55924: draw a big circle 1 and draw another smaller circle 2 to the right of the big circle 1 and touches the big circle 1. Draw a line that tangents to both circles at the bottom. Draw a third smaller circle 3 in the space between the two larger circles and the line so that the third circle is touching the two bigger circles and tangent to the line. r1, r2, and r3 are radii of circle 1, circle 2, and circle 3. Express r3 in terms of r1 and r2.
Click here to see answer by Edwin McCravy(8909)

Question 56915: if a wheel that has 3000 revolutions while rolling in a straight line for 45000 in what is the radius of the wheel
Click here to see answer by venugopalramana(3286)

Question 57321: pi r squared
I have a circle that is 25 meters in diameter. I need to find the circumference. somehow, I know that there is a formula for finding the radius/circumference by using pi but do not know exactly how and cannot find the right info in my text. If you can help, I need this by noon tomorrow 10/21 EDT. Thanks
Click here to see answer by stanbon(57361)

Question 57270: givin three sides of a traingle: 330, 270, 240, find the area of the largest possible circle that fits within the triangle
Click here to see answer by venugopalramana(3286)

Question 57806: Draw The circle (uhm...i really dont know what to do and i need your help...uhm, you dont need to draw the circle for me at least show me the solutions on how to solve the problem...)
Given
1. x squared + y squared - 6x - 8y = 0
2. x squared + y squared - 8x + 2y + 8
Click here to see answer by venugopalramana(3286)

Question 58977: Here is a tiring problem. The diameter of a car tire is approximately 60 centimeters. The warranty is good for 70,000 km. About how many revolutions will the tire make before the warranty is up? More than a million? A billion?
Click here to see answer by ankor@dixie-net.com(15656)

Question 59414: Give the equation for the circle with center C(3,-2) and radius 4.
Click here to see answer by funmath(2925)

Question 60213: Given the circle: (y+7)^2+(x-4)^2=18
Find the center:
Find the exact radius:
Can someone show me what formulas to use, and how to use them?
Thank You!!

Click here to see answer by funmath(2925)

Question 60757: Find the equation of the circle that passes through the origin and has its center at (-3,-4).
Click here to see answer by Edwin McCravy(8909)

Question 60756: Write the equation that satisfies the stated conditions. There may be more than one cirle that satifies the equation. Express the final equations in form x^2+y^2+Dx+Ey+F=0
Tangent to the x axis, a radius of length 4, and abscissa of center is -3.
I am so totally lost with this one that I don't even know where to start.
Click here to see answer by Edwin McCravy(8909)

Question 61071: find the center and the radius of the circle:
x2 + y2 - 12x-16y-21 =0
Click here to see answer by joyofmath(189)

Question 61071: find the center and the radius of the circle:
x2 + y2 - 12x-16y-21 =0
Click here to see answer by Earlsdon(6287)

Question 61514: Find the standard equation of the circle that satisfies the conditions.
Center (-1,-3), passing through the point (3,0)
Click here to see answer by funmath(2925)

Question 61514: Find the standard equation of the circle that satisfies the conditions.
Center (-1,-3), passing through the point (3,0)
Click here to see answer by venugopalramana(3286)

Question 61515: find the area inside the square,but outside the circle,given that the radius of the circle is 2ft.use 3.14 for pi. height is 6ft and width is 6ft.
Click here to see answer by ptaylor(2048)

Question 64300: can someone please help me with this question.
Graph 9x2+4y2=144
Thank you

Click here to see answer by rchill(405)

Question 64976: GIVE THE CENTER OF THE CIRCLE WITH EQUATION x^2+2x+y^2-10y+22=0.
Click here to see answer by funmath(2925)

Question 65137: Find the center, radius, and x- and y-intercepts of the circle given by the equation 3x2 + 3y2 - 6x + 5y = 0.
Click here to see answer by stanbon(57361)

Question 64612: Find the center, radius, and x- and y-intercepts of the circle given by the equation 3x2 + 3y2 - 6x + 5y = 0.
Click here to see answer by venugopalramana(3286)

Question 66586: 1. how many square units are in the area of the circle described by x^2+y^2=25? expres your answer in terms of pi.
Click here to see answer by Nate(3500)

Question 67204: Two secants are drawn to a circle from an external point. The external secant length on the first secant is 12 and the internal segment length is 3X+1. The external secant length on the second secant is 15 and the internal segment length is 3X-1. Solve for x to determine the lengths of the two internal segments of the secants.
Click here to see answer by cassiroberts(11)

Question 67516: if an area of a circle is to be roped off by a rope 10m long, what will be the radius of this area? round your answer to two decimal places
Click here to see answer by checkley71(8403)

Question 59789: My smaller brother was given an exercise to be answered by his teacher during their sembreak, too bad neither of us know how to answer it for he's not sure what the instruction given to him was...but he said that probably the instruction is to find the standard equation of the following, stiil in that case we still dont know how to do it:
a. center at (2a,a) and touching y-axis
b. center at (-1, -3) and passing through (-2,0)
c. with the points (2, 5) and (6, -1) as endsof a diameter
d. circumscribing a triangle with vertices (-1,-14) (3,-2) (5,2)
Click here to see answer by stanbon(57361)

Question 67873: For what values of K is y=k a tangent to the circle (x-1)^2+(y+4)^2=25?
Click here to see answer by stanbon(57361)

Question 67902: Hi! I have a question that I'm having trouble with. I started to work on it but I'm not too sure if I'm supposed to take the perpendicular bisector or not. Here's the question:
A chord "AB" is 9cm from the center of the circle. The circle has a radius of 15cm. What is the length of "AB"?
If you could help me out, that would be great!
Thanks!
Ryan Desmond
Click here to see answer by stanbon(57361)

Question 68106: What is a circle, Radius, Diameter, Arc, semicircle, Minor arc, major arc, chord?
Click here to see answer by Edwin McCravy(8909)

Question 68730: I need to know: How would i convert (x^2+y^2+2x-10=0) into (x-h)^2+(y-k)^2=r^2 format? I needed to find the radius and the center of the equation.
Click here to see answer by stanbon(57361)

Question 69384: The circumference of a circle is 480 in. What is its radius? What is its diameter?
Click here to see answer by stanbon(57361)

Question 69384: The circumference of a circle is 480 in. What is its radius? What is its diameter?
Click here to see answer by funmath(2925)

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