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

Tutors Answer Your Questions about Circles (FREE)

Question 375202: the radius of the outer circle is 8 cm, the radius of the inner circle is 5 cm, and the measure or angle AOB=90. what is the shaded area to the nearest tenth of a square centimeter?
Click here to see answer by Alan3354(30925)

Question 375717: nothing like the examples . . .y^2-12y+6x+30=0 . . find vertex, focus and directrix of the parabola . . y^2-12y+30=-6x . .now I can not figure out how to factor it and solve therest.
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Question 375826: Find the center of the circle defined by the equation 4x^2+ 4y^2+24x-56y
+168=0
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Question 375928: Will a 60" square fit inside a 76" circle?
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Question 376105: what is the diameter footage of 2 linear feet
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Question 376188: Find the radius of the circle defined by the equation: 5x^2+5y^3+60x+40y+215=0.
It tells me that the standard form of the equation of a circle is (x-h)^2+(y-k)^2=r^2 , but how do I go about putting this equation into standard form? I'm a bit confused please help.
Click here to see answer by Fombitz(13828)

Question 376195: Find the radius of the circle with these three points: (-6,-7),(-4,-9),(-8,-9) and center (-6,-9)
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Question 376197: Find the center of the circle defined by the equation: x^2+y^2-6x-10y-15=0
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Question 376200: Find the center of the circle with these three points: (-5,13),(2,6),(-12,6)
I'm still unsure how to find the center with points please help.
Click here to see answer by Fombitz(13828)

Question 376202: Find the radius of a circle with these three points: (-11,12),(-7,14),(-2,9).It also lists the center which is (-7,9).
Click here to see answer by Fombitz(13828)

Question 376227: A large circular garden is surrounded by a stone wall that is 6 inches wide. The circumferance of teh OUTSIDE of teh stone wall measures 54 feet.
A. Find the radius of the garden INCLUDING the stone wall.
B. Find the radius of the garden WITHOUT the stone wass.
C. Find the area of teh garden (not including the stone wall) in square feet.
I can find the answer to A. 27ft/Pie
I think the answer to B is 26ft/Pie
But I can't figure out part C.
Click here to see answer by ankor@dixie-net.com(15622)

Question 376780: I am in intermediate algebra, my tutor is gone for the weekend and I need some assistance.
Problem: Find the center, radius, x-intercepts and y-intercepts of the circle X^2 + y^2 - 6x + 4y - 12 = 0
I am confused on the x-intercepts of my circle
This is what I have done so far:
X^2 - 6X + y^2 +4y = 12
x^2 - 6x + 9 + y^2 + 4y + 4 = 12 + 9 + 4
(x-3)^2 + (y + 2)^2 = 25
Y -intercepts:
(x-3)^2 + (y+2)^2 = 25
(0-3)^2 + (y+2)^2 = 25
9 + (y+2)^2 = 5^2
-9 + 9 + (y+2)^2 = 5^2 - 9
(y+2)^2 = 4
square it
y+2 = + or - 4
y = -6
y = 2
x intercepts
x^2 - 6x - 12 = 0
Now I am stuck - I can't figure out how to figure out the x intercept
I believe that vertex is : (3, -2)
radius is: (5)
y intercepts (0.-6) (0,2)
x intercepts (-2,0) except that my circle is not exactly on -2
Thank you for your assistance
Carol
Click here to see answer by solver91311(16868)

Question 377663: Write the standard form of the equation of the circle and graph the circle with the given center and radius. Include 4 points on the circle and the center of the circle on your graph on graph paper.
Center (3,-2) Radius =4
(x+h)^2 + (y-k)^2 =r^2
Click here to see answer by Alan3354(30925)

Question 378091: Write an equation for
Center (-3,5) with a circumference of 8 pie units
Click here to see answer by robertb(4012)

Question 378452: My problem is I do not know how to work this out. It is completing the square find the value of c such that w^2-10w+c is the perfect square. I am confused and do not know how to work it out. I hope you can show me so I will understand.
Thank you
Click here to see answer by solver91311(16868)

Question 378973: the central angle theta of a circle with radius 9 inches intercepts an arc 20 inches, find theta
Click here to see answer by jsmallt9(3296)

Question 378973: the central angle theta of a circle with radius 9 inches intercepts an arc 20 inches, find theta
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Question 379932: what is the radius of a circle 45 inches long?
Click here to see answer by richard1234(5390)

Question 379932: what is the radius of a circle 45 inches long?
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Question 379953: Katie was asked to draw a circle on the playground for a game during recess. If the radius of the circle needed to be 14 inches, how long is the diameter?
Click here to see answer by robertb(4012)

Question 380874: I need help to find the x and y intercepts of these circles. Circle 1 (x+2)^2+(y+3)^2=4 and Circle 2 x^2+y^2-18x-2y+66=0.
Thanks in advance!!!!
Click here to see answer by robertb(4012)

Question 380939: PLS. HELP ME SOLVE THIS PROBLEM. TNX.
PROB.1. In a circle of diameter 12 inches, find the length of the arc and the area of the sector subtended on the circumference by a central angle of 60 degrees.

Click here to see answer by Theo(3458)

Question 380947: PLS. HELP ME SOLVE THIS PROBLEM. TNX
PROB. 1 IN A CIRCLE OF RADIUS 6 INCHES, THE LENGTH OF THE ARC OF A SECTOR IS 6PIE INCHES. WHAT IS THE AREA OF THE SECTOR?
PROB. 2. FIND THE CENTRAL ANGLE OF A CIRCLE WHICH INTERCEPTS AN ARC 80PIE CENTIMETER WITH THE RADIUS OF THE CIRCLE IS 20 CENTIMETER.
Click here to see answer by Theo(3458)

Question 380942: find the central angle of a circle which intercepts an arc 80pie centimeter with the radius of the circle is 20 centimeter. tnx.
Click here to see answer by robertb(4012)

Question 380954: pls. help me solve this problem. tnx.
prob. 1 IN A CIRCLE OF RADIUS 6 INCHES THE LENGTH OF THE ARC OF A SECTOR IS 6 PIE INCHES. WHAT IS THE AREA OF THE SECTOR?
Click here to see answer by rfadrogane(214)

Question 380941: in a circle of radius 6 inches the length of the arc of a sector is 6 pie inches. what is the area of the sector?
Click here to see answer by robertb(4012)

Question 381347: Need a little help please.
Question: A simple dartboard has three areas… the main board has a radius of 10 inches, there is a circle with a radius of 7 inches, and the bullseye has a radius of 3 inches. What is the probability of a random dart landing inside the bullseye?

Click here to see answer by stanbon(57203)

Question 382622: find the area of a sector of a circle whose radius is 18, having an arc measure of 30 degrees.
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Question 382622: find the area of a sector of a circle whose radius is 18, having an arc measure of 30 degrees.
Click here to see answer by kingme18(98)

Question 382943: Find the center of a circle with these three points: (-7,9)(-13,3)(-1,3).
Click here to see answer by Alan3354(30925)

Question 382943: Find the center of a circle with these three points: (-7,9)(-13,3)(-1,3).
Click here to see answer by Fombitz(13828)

Question 382943: Find the center of a circle with these three points: (-7,9)(-13,3)(-1,3).
Click here to see answer by Edwin McCravy(8879)

Question 382968: Find the center of a circle defined by the equation:7x^2+7y^2-98x-112y+679=0
Click here to see answer by Fombitz(13828)

Question 382978: find the radius defined by the equation: x^2+y^2-2x-10y-23=0.
Click here to see answer by stanbon(57203)

Question 383021: find the radius of the circle defined by the equation: 3x^2+3y^2+12x-12x-48=0.
Click here to see answer by Jk22(389)

Question 382993: find the radius of the circle defined by the equation: 3x^2+3y^2+12x-12x-48=0
Click here to see answer by scott8148(6628)

Question 384025: Find the area of the sector of a circle if r = 4 and the measure of the arc is 60°.

Click here to see answer by richard1234(5390)

Question 384065: the circumference of a coin is 7.87cm. What is the diameter, radius, and area?
Click here to see answer by mananth(12270)

Question 384024: The radius of one circle is three times the radius of a second circle. Find the ratio of the areas.

Click here to see answer by mananth(12270)

Question 384000: Find the area of a sector with an arc measure of 60° in a circle with a diameter of 14 cm
Click here to see answer by Fombitz(13828)

Question 384131: Express answer in exact form.
A regular hexagon with sides of 3" is inscribed in a circle. Find the area of a segment formed by a side of the hexagon and the circle.
Click here to see answer by Alan3354(30925)

Question 384036: in navigational terms, a minute is one sixtieth of a degree, and a second is one sixtieth of a minute. to the nearest foot, what is the length of a one-second arc on the equator?
Click here to see answer by scott8148(6628)

Question 384597: What is the radius of a circle with an area of 615.44 inches?
Click here to see answer by stanbon(57203)

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