Worksheetscomplex circle equations
Total questions: 25
Worksheet time: 25mins
Name
Class
Date
1.
A circle with its center at (8, 0) passes through the point (-6, 3). Which of the following is another point it passes through?
a)
(20, 7)
b)
(-5, 6)
c)
(-4, -7)
d)
(22, -5)
2.
A circle with its center at (20, -20) passes through the point (34, -25). Which of the following is another point it passes through?
a)
(32, -9)
b)
(8, -9)
c)
(8, -31)
d)
(31, -30)
3.
A circle with its center at (2, 14) passes through the point (17, 19). Which of the following is another point it passes through?
a)
(14, 24)
b)
(-11, 23)
c)
(-10, 4)
d)
(16, 4)
4.
A circle with its center at (-3, 17) passes through the point (-15, 18). Which of the following is another point it passes through?
a)
(5, 26)
b)
(-11, 24)
c)
(-11, 10)
d)
(6, 9)
5.
A circle with its center at (-7, 20) passes through the point (-27, 15). Which of the following is another point it passes through?
a)
(8, 34)
b)
(-24, 34)
c)
(-24, 6)
d)
(9, 7)
6.
Find the area of a circle whose diameter has endpoints (-11, -9) and (9, 5).
a)
596π
b)
149π
c)
340π
d)
4π
7.
Find the area of a circle whose diameter has endpoints (3, -11) and (15, 7).
a)
468π
b)
117π
c)
300π
d)
18π
8.
Find the area of a circle whose diameter has endpoints (-4, 8) and (6, -10).
a)
424π
b)
106π
c)
280π
d)
3π
9.
Find the area of a circle whose diameter has endpoints (-4, -9) and (-16, -11).
a)
148π
b)
37π
c)
140π
d)
28π
10.
Find the area of a circle whose diameter has endpoints (-4, 7) and (6, -7).
a)
296π
b)
74π
c)
240π
d)
2π
11.
A circle passes through the point (-6, -6) and has its center at (-3, -3). What is the equation of the circle?
a)
(x + 3)^2 + (y + 3)^2 = 18
b)
(x - 3)^2 + (y - 3)^2 = 72
c)
(x - 6)^2 + (y - 6)^2 = 72
d)
(x + 6)^2 + (y + 6)^2 = 72
12.
A circle passes through the point (10, -10) and has its center at (-3, 1). What is the equation of the circle?
a)
(x + 3)^2 + (y - 1)^2 = 290
b)
(x - 3)^2 + (y + 1)^2 = 200
c)
(x + 10)^2 + (y - 10)^2 = 290
d)
(x - 10)^2 + (y + 10)^2 = 200
13.
A circle passes through the point (6, -7) and has its center at (0, 1). What is the equation of the circle?
a)
(x - 0)^2 + (y - 1)^2 = 100
b)
(x + 0)^2 + (y + 1)^2 = 100
c)
(x + 6)^2 + (y - 7)^2 = 100
d)
(x - 6)^2 + (y + 7)^2 = 100
14.
A circle has its center at (-3, -4) and passes through the point (-8, 7). What is the equation of the circle?
a)
(x + 3)^2 + (y + 4)^2 = 146
b)
(x - 3)^2 + (y - 4)^2 = 146
c)
(x - 8)^2 + (y + 7)^2 = 113
d)
(x + 8)^2 + (y - 7)^2 = 113
15.
A circle has its center at (-5, 2) and passes through the point (9, -8). What is the equation of the circle?
a)
(x + 5)^2 + (y - 2)^2 = 296
b)
(x - 5)^2 + (y + 2)^2 = 296
c)
(x + 9)^2 + (y - 8)^2 = 296
d)
(x - 9)^2 + (y + 8)^2 = 145
16.
Determine the diameter of a circle centered at the origin and passing through (-9, 7)
a)
22.8
b)
11.4
c)
7.5
d)
15
17.
Determine the diameter of a circle centered at the origin and passing through (8, 3)
a)
17.1
b)
8.5
c)
8.4
d)
16.8
18.
Determine the diameter of a circle centered at the origin and passing through (-4, 4)
a)
11.3
b)
5.7
c)
4.8
d)
9.6
19.
Determine the diameter of a circle centered at the origin and passing through (-9, 3)
a)
19
b)
9.5
c)
3.7
d)
7.4
20.
Determine the diameter of a circle centered at the origin and passing through (8, -7)
a)
21.3
b)
10.6
c)
8.7
d)
17.4
21.
Write the equation of the line tangent to the circle (x + 4)^2 + (y + 1)^2 = 17 at the point of tangency (-3, -5).
a)
y = 1/4(x + 3) - 5
b)
y = -1/4(x + 3) - 5
c)
y = 4(x + 3) - 5
d)
y = -4(x + 3) - 5
22.
Write the equation of the line tangent to the circle (x + 8)^2 + (y - 5)^2 = 25 at the point of tangency (-4, 2).
a)
y = 4/3(x + 4) + 2
b)
y = -4/3(x + 4) + 2
c)
y = 3/4(x + 4) + 2
d)
y = -3/4(x + 4) + 2
23.
Write the equation of the line tangent to the circle (x - 3)^2 + (y - 9)^2 = 185 at the point of tangency (-8, 1).
a)
y = -11/8(x + 8) + 1
b)
y = 11/8(x + 8) + 1
c)
y = -8/11(x + 8) + 1
d)
y = 8/11(x + 8) + 1
24.
Write the equation of the line tangent to the circle (x - 10)^2 + (y - 7)^2 = 146 at the point of tangency (5, -4).
a)
y = -5/11(x - 5) - 4
b)
y = 5/11(x - 5) - 4
c)
y = -11/5(x - 5) - 4
d)
y = 11/5(x - 5) - 4
25.
Write the equation of the line tangent to the circle (x - 2)^2 + (y + 1)^2 = 73 at the point of tangency (5, -9).
a)
y = 3/8(x - 5) - 9
b)
y = -3/8(x - 5) - 9
c)
y = 8/3(x - 5) - 9
d)
y = -8/3(x - 5) - 9
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