WorksheetsEquation of a Circle
Total questions: 10
Worksheet time: 9mins
What is the center of the circle
x2+y2−4x+10y+13=0?(2,5)
(-2, 5)
(2, -5)
(-2,-5)
Which of the following equations is the standard form of the circle
x2+y2−4x+10y+13=0?(x−2)2+(y+5)2=16
(x−2)2+(y−5)2=16
(x−5)2+(y−2)2=42
(x+5)2+(y+2)2=42
What is the center and radius of the circle
x2+y2=9?(0,0); 3
(0,3); 3
(3,0); 3
(3,3), 1
Transform into the general equation of a circle
x2+y2−4x−8y+16=0
x2+y2+4x−16y−16=0
x2+y2−4x−16y+16=0
x2+y2−4x−8y−16=0
Solve the area of the circle given the general form:
x2+y2−2x−8y−44=049πu2
64πu2
81πu2
100πu2
A radio signal can transmit message up to 5 km. If the radio signal’s origin is located at a point whose coordinates are (-2, 7). What is the equation of the circle that defines the boundary up to which the messages can be transmitted?
(x−2)2+(y+7)2=25
(x+2)2+(y−7)2=5
(x+2)2+(y−7)2=25
(x−2)2+(y+7)2=5
Identify the center of the circle 1.
x2+y2−4x+6y−36=0?(9, -3)
(3, -2)
(2, -3)
(2, -10)
Transform into the general equation of a circle.
(x+2)2+y2=100x2+y2=10
x2+y2+4x−96=0
x2+y2−4y−96=0
x2+y2−4y+96=0
1. Which of the following equation/s will represent a circular function?
I. (x−2)2+(y−3)2=9II. (x−4)2−(y+1)2=25
III. x2−y2+4x−7y−12=0
IV. x2+y2−4x+5y−20=0
I and III
II and IV
I only
I and IV
x2+y2+4x−4y−28=0
Solve the quarter area of the circle that will be formed by the general equation:
9πu2
10πu2
11πu2
12πu2
