WorksheetsCircle Equation (Standard Form)
Total questions: 14
Worksheet time: 21mins
Name
Class
Date
1.
What is the coordinates of the centre and the radius of the circle with equation:
(x - a)2 + (y - b)2 = r2 ?
(x - a)2 + (y - b)2 = r2 ?
a)
Centre (a,b)
Radius = r2 units
Radius = r2 units
b)
Centre (-a,-b)
Radius = r units
Radius = r units
c)
Centre (a,b)
Radius = r units
Radius = r units
d)
Centre (-a,-b)
Radius = r2 units
Radius = r2 units
2.
What is the coordinates of the centre and the radius of the circle with equation:
(x - 1)2 + (y - 2)2 = 32 ?
(x - 1)2 + (y - 2)2 = 32 ?
a)
Centre (-1,-2)
Radius = 3 units
Radius = 3 units
b)
Centre (1,2)
Radius = 3 units
Radius = 3 units
c)
Centre (-1,-2)
Radius = 9 units
Radius = 9 units
d)
Centre (1,2)
Radius = 9 units
Radius = 9 units
3.
What is the coordinates of the centre and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
(x - 4)2 + (y - 3)2 = 25 ?
a)
Centre (4,3)
Radius = 5 units
Radius = 5 units
b)
Centre (4,3)
Radius = 25 units
Radius = 25 units
c)
Centre (-4,-3)
Radius = 25 units
Radius = 25 units
d)
Centre (-4,-3)
Radius = 5 units
Radius = 5 units
4.
What is the coordinates of the centre and the radius of the circle with equation:
(x + 3)2 + (y + 1)2 = 22 ?
(x + 3)2 + (y + 1)2 = 22 ?
a)
Centre (-3,-1)
Radius = 4 units
Radius = 4 units
b)
Centre (3,1)
Radius = 2 units
Radius = 2 units
c)
Centre (-3,-1)
Radius = 2 units
Radius = 2 units
d)
Centre (3,1)
Radius = 4 units
Radius = 4 units
5.
What is the coordinates of the centre and the radius of the circle with equation:
(x + 2)2 + (y + 5)2 = 16 ?
(x + 2)2 + (y + 5)2 = 16 ?
a)
Centre (2,5)
Radius = 16 units
Radius = 16 units
b)
Centre (2,5)
Radius = 4 units
Radius = 4 units
c)
Centre (-2,-5)
r = 16 units
r = 16 units
d)
Centre (-2,-5)
Radius = 4 units
Radius = 4 units
6.
What is the coordinates of the centre and the radius of the circle with equation:
(x - 5)2 + (y + 3)2 = 36 ?
(x - 5)2 + (y + 3)2 = 36 ?
a)
Centre (5,-3)
Radius = 6 units
Radius = 6 units
b)
Centre (-5,3)
Radius = 6 units
Radius = 6 units
c)
Centre (-5,3)
Radius = 36 units
Radius = 36 units
d)
Centre (5,-3)
Radius = 36 units
Radius = 36 units
7.
What is the coordinates of the centre and the radius of the circle with equation:
(x + 7)2 + (y - 6)2 = 64 ?
(x + 7)2 + (y - 6)2 = 64 ?
a)
Centre (7,-6)
Radius = 8 units
Radius = 8 units
b)
Centre (-7,6)
Radius = 64 units
Radius = 64 units
c)
Centre (-7,6)
Radius = 8 units
Radius = 8 units
d)
Centre (7,-6)
Radius = 64 units
Radius = 64 units
8.
What is the equation of the circle, with centre (a,b) and radius r units?
a)
(x - a)2 + (y - b)2 = r2
b)
(x + a)2 + (y + b)2 = r
c)
(x - a)2 + (y - b)2 = r
d)
(x + a)2 + (y + b)2 = r2
9.
What is the equation of the circle, with centre (4,2) and radius 5 units?
a)
(x + 4)2 + (y + 2)2 = 25
b)
(x + 4)2 + (y + 2)2 = 5
c)
(x - 4)2 + (y - 2)2 = 5
d)
(x - 4)2 + (y - 2)2 = 25
10.
What is the equation of the circle, with centre (3,8) and radius 4 units?
a)
(x - 3)2 + (y - 8)2 = 4
b)
(x - 3)2 + (y - 8)2 = 16
c)
(x + 3)2 + (y + 8)2 = 16
d)
(x + 3)2 + (y + 8)2 = 4
11.
What is the equation of the circle, with centre (-2,-7) and radius 3 units?
a)
(x + 2)2 + (y + 7)2 = 3
b)
(x - 2)2 + (y - 7)2 = 9
c)
(x + 2)2 + (y + 7)2 = 9
d)
(x - 2)2 + (y - 7)2 = 3
12.
What is the equation of the circle, with center (-6,-9) and radius 7 units?
a)
(x + 6)2 + (y + 9)2 = 49
b)
(x + 6)2 + (y + 9)2 = 7
c)
(x - 6)2 + (y - 9)2 = 49
d)
(x - 6)2 + (y - 9)2 = 7
13.
What is the equation of the circle, with centre (-4,5) and radius 6 units?
a)
(x - 4)2 + (y + 5)2 = 6
b)
(x - 4)2 + (y + 5)2 = 36
c)
(x + 4)2 + (y - 5)2 = 6
d)
(x + 4)2 + (y - 5)2 = 36
14.
What is the equation of the circle, with centre (7,-3) and radius 8 units?
a)
(x - 7)2 + (y + 3)2 = 8
b)
(x - 7)2 + (y + 3)2 = 64
c)
(x + 7)2 + (y - 3)2 = 8
d)
(x + 7)2 + (y - 3)2 = 64
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