1) Graph the following circle: (x -3)2 + (y + 1)2 = 4
Math 3 Hon: Unit 7 Circle Review Worksheet Name ____________________________________
Equation of a Circle: (x – h)2 + (y – k)2 = r2, Center = (h, k) and Radius = r
1) Graph the following circle:
a. (x - 1)2 + (y - 3)2 = 4
b. (x – 4)2 + (y – 2)2 = 9
c. (y + 3)2 + (x + 1)2 = 16
2) For each circle: Identify its center and radius.
a. (x + 2)2 + (y – 5)2 = 36
Center:_____________
Radius:_____________
b. x2 + (y – 9)2 = 18
Center:___________
Radius:____________
c. (y + 1)2 + (x + 7)2 = 24
Center:_____________
Radius:_____________
3) Write the equation of the following circles:
4) Give the equation of the circle that is tangent to the y-axis and center is (-4, 3).
5) Give the equation of the circle that is tangent to the x-axis and center is (5, -7).
Finding Circles in Standard Form: COMPLETE THE SQUARE on the x terms and y terms separately.
EXP: x2 + y2 + 6x – 8y – 11 = 0
(x2 + 6x) + (y2 – 8y) = 11 x-terms: 6 ÷ 2 = 3 and (3)2 = 9 y-terms: -8 ÷ 2 = -4 and (-4)2 = 16
(x2 + 6x + 9) + (y2 – 8y + 16) = 11 + 9 + 16 Factor
(x + 3)2 + (y – 4)2 = 36 Center: (-3, 4) Radius: 6
6) Find the standard form, center, and radius of the following circles:
6a) x2 + y2 – 4x + 10y – 7 = 0
Center:___________ Radius:_________
6b) x2 + 8x + y2 + 5y – 2 = 0
Center:___________ Radius:_________
6c) x2 – 2x + y2 + 12y + 18 = 0
Center:___________ Radius:_________
6d) x2 – 10x + y2 – 6y + 9 = 0
Center:___________ Radius:_________
7) Give the equation of the circle whose
a. Center is (4,-2) and goes through (2, 5)
b. Center is (3, 3) and goes through (1, 1)
9) Give the equation of a circle whose
a. Endpoints of a diameter at (-3, 3) and (5, -3)
b. Endpoints of a diameter at (7, -2) and (3, -8)
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