Write the equation of the circle described. a. Center at the origin, containing the point (-6, -8) b. Center (7, 5), containing the point (3, -2).

lwfrgin 2021-06-26 Answered
Write the equation of the circle described.
a. Center at the origin, containing the point (-6, -8)
b. Center (7, 5), containing the point (3, -2).
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Expert Answer

avortarF
Answered 2021-06-27 Author has 113 answers

Use the standard equation of a circle with center (h,k) and radius r:
(xh)2+(yk)2=r2
a.Using (h,k)=(0,0) and (x,y)=(6,8), solve for r2:
(60)2+(80)2=r2
36+64=r2
100=r2
So, the equation of the circle is:
(x0)2+(y0)2=100
x2+y2=100
b.Using (h,k)=(7,5) and (x,y)=(3,2), solve for r2:
(37)2+(25)2=r2
16+49=r2
65=r2
So, the equation of the circle is:
(x7)2+(y5)2=65

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Jeffrey Jordon
Answered 2021-10-10 Author has 2027 answers

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