Circle Equations Using Diameter Endpoints
Quiz
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Anthony Clark
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20 questions
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1.
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
2.
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
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The endpoints of a diameter of a circle are (−3,1) and (9,6).Find the equation of the circle? Hint: In this problem, we are not given the center or radius however we can find the length of the diameter using the distance formula (Phythagoras) and then divide it by 2. The center is simply the midpoint of the given points.
(x−5)2+(y−7/2)2=169/4
(x−3)2+(y−3)2=169/4
(x−3)2+(y−7/2)2=169/4
(x−7/2)2+(y−7/2)2=169/4
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(x-2)2+y2=234
(x+2)2+y2=234
(x-2)2+(y+3)2=225
(x+2)2+(y-3)2=225
(x-15)2+(y+3)2=4
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the equation of a circle who's diameter has the endpoints (18, -13) and (4, -3)
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the equation for the circle, if it has diameter endpoints at (3,-4) and (-5,-4)?
(x+1)² + (y+4)² = 16
(x+1)² + (y-4)² = 16
(x-1)² + (y-4)² = 16
(x+1)² + (y+4)² = 16
Tags
CCSS.HSG.GPE.A.1
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