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Describe the circle given by the equation (x − 7)^2 + (y − 8)^2 = 9.

User Ysth
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1 Answer

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The circle (x − 7)² + (y − 8)² = 9 is a circle with center (7,8) and radius is 3

Explanation:

Equation of circle with (h,k) as center and radius r is given by,

(x-h)²+(y-k)² = r²

Here we need to describe the circle given by the equation (x − 7)² + (y − 8)² = 9

Changing equation to (x-h)²+(y-k)² = r² form

(x − 7)² + (y − 8)² = 9

(x − 7)² + (y − 8)² = 3²

So, h = 7 , k = 8 and r = 3

Center is (7,8) and radius is 3

The circle (x − 7)² + (y − 8)² = 9 is a circle with center (7,8) and radius is 3

User Ray Paseur
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