Question

Write an equation for a circle with center at (10, –8) and diameter = 12.

Answer 1

Equation of circle:

(x-10)² + (y+8)² = 36

Explanation:

Given that,

Center of the circle is (10, -8)

and diameter = 12

We know that radius is half of the diameter.

So, radius (r) =
`(12)/(2)` = 6

Now we have standard form of circle :

(x - h)² + (y - k)² = r²

Where (h,k) is the center of circle and r is the radius.

Now put the value of h, k and r in circle's equation

h =10

k = -8

r = 6

Equation of circle:

(x-10)² + (y+8)² = 36

That's the final answer.

I hope it will help you.