Worksheets6.3 Circles Part 1
Total questions: 9
Worksheet time: 45mins
Name
Class
Date
1.
Write the equation of a circle with center (7, 0) with radius 3.
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
2.
What are the coordinates of the center and the radius of the circle with equation (x - 4)2 + (y - 3)2 = 25 ?
a)
Center (4, 3)
Radius = 5 units
b)
Center (4, 3)
Radius = 25 units
c)
Center (-4, -3)
Radius = 25 units
d)
Center (-4, -3)
Radius = 5 units
3.
Write the standard equation of the circle with the given center and radius; center (0, 0) and radius of 3.
a)
x2 + y2 = 4
b)
x2 + y2 = 81
c)
x2 + y2 = 9
d)
x2 + y2 = 3
4.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
5.
What is the radius of the circle with this equation of (x - 5)² + (y + 7)² = 8?
a)
4
b)
8
c)
4√2
d)
2√2
6.
What is the radius of the circle given by the equation (x - 7)2 + (y + 3)2 = 25?
a)
3
b)
5
c)
10
d)
25
7.
The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.
a)
(x - 2)2 + (y + 5)2 = 36
b)
(x - 5)2 + (y + 2)2 = 6
c)
(x + 5)2 + (y - 2)2 = 36
d)
(x + 2)2 + (y - 5)2 = 6
8.
What is the radius of the circle with equation x2 + y2 = 1?
a)
0
b)
0.5
c)
1
d)
2
9.
Write the equation of the circle with center C( -5 , 8 ) and radius = 7
a)
( x - 5 )2 + ( y + 8 )2 = 14
b)
( x - 5 )2 + ( y - 8 )2 = 49
c)
( x - 5 )2 + ( y + 8 )2 = 49
d)
( x + 5 )2 + ( y - 8 )2 = 49
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