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Asked Sep 25, 2019
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O GRAPHS AND FUNCTIONS
Writing an equation of a circle given its center and radius or diam...
Write an equation of the circle with center (-8,-9) and radius 7.
?
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O GRAPHS AND FUNCTIONS Writing an equation of a circle given its center and radius or diam... Write an equation of the circle with center (-8,-9) and radius 7. ?

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Expert Answer

Step 1

Given a circle with center (-8, -9) and radius as 7.

To Find: Equation of circle.

Note
The center-radius form of the circle equation is (x - h)2 + (y - k)2 = r2
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Note The center-radius form of the circle equation is (x - h)2 + (y - k)2 = r2

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Step 2

Comparing with the general form we have,

Center (h, k) = (-8,-9) and Radius = r = 7
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Center (h, k) = (-8,-9) and Radius = r = 7

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Step 3

Substitute the value for h, k and r ...

(x 8)2y 9)2 = 72
x216x 64 y2 + 18y + 81 = 49
x2y2 + 16x+ 18y + 96 = 0
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(x 8)2y 9)2 = 72 x216x 64 y2 + 18y + 81 = 49 x2y2 + 16x+ 18y + 96 = 0

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