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What is the equation of the circle with: center (5, 7) and point on the circle: (-2, 8)

User Soteric
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1 Answer

2 votes

Answer:


(x-5)^2+(y-7)^2=50

Explanation:

Hi there!

Equation of a circle:
(x-h)^2+(y-k)^2=r^2 where the circle is centered at
(h,k) and r is the radius

Plug in the center (5,7)


(x-5)^2+(y-7)^2=r^2

Plug in the given point (-2,8) to solve for r²


(-2-5)^2+(8-7)^2=r^2\\(-7)^2+(1)^2=r^2\\49+1=r^2\\50=r^2

Therefore, r² is equal to 50. Plug this back into
(x-5)^2+(y-7)^2=r^2


(x-5)^2+(y-7)^2=50

I hope this helps!

User Lunatic
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