Equation of Circle Given Center and Point
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the coordinates of the centre and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
Centre (4,3)
Radius = 5 units
Centre (4,3)
Radius = 25 units
Centre (-4,-3)
Radius = 25 units
Centre (-4,-3)
Radius = 5 units
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the equation of the circle, with center (4,2) and radius 5 units?
(x + 4)2 + (y + 2)2 = 25
(x + 4)2 + (y + 2)2 = 5
(x - 4)2 + (y - 2)2 = 5
(x - 4)2 + (y - 2)2 = 25
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the equation of the circle, with centre (7,-3) and radius 8 units?
(x - 7)2 + (y + 3)2 = 8
(x - 7)2 + (y + 3)2 = 64
(x + 7)2 + (y - 3)2 = 8
(x + 7)2 + (y - 3)2 = 64
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the equation of a circle whose diameter is 24 and whose center is at the origin?
x2+y2=125
x2+y2=64
x2+y2=144
x2+y2=576
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the equation of this circle in standard form. Then sketch it labeling the center and endpoints of the horizontal and vertical diameters using exact coordinates. -6y +x^2 +y^2 +18x-10=100
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A circle has a center of (-1, 3) and passes through the point (-5, 6). Write the equation of the circle described. (Hint: graph to find the length of the radius).
(x + 1)2 + (y - 3)2 = 5
(x - 1)2 + (y + 3)2 = 25
(x + 1)2 + (y - 3)2 = 25
(x - 1)2 + (y + 3)2 = 5
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A circle has a center of (1, -5) and passes through the point (-7, -13). What is the equation of this circle? (Hint: graph to find the length of the radius).
(x + 1)2 + (y - 5)2 = 128
(x - 1)2 + (y + 5)2 = 11.31
(x - 1)2 + (y + 5)2 = 128
(x + 1)2 + (y + 5)2 = 11.31
Tags
CCSS.HSG.GPE.A.1
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