Question

The equation of a circle is given below. (x − 5) 2 + ( y + 2 ) 2 = 81 4 (x−5) 2 +(y+2) 2 = 4/81 What is its center? Radius?

Answer 1

center= 5,-2 Radius= 9/2

Explanation:

proof

Answer 2

The center is (5, -2) and the radius is 9/2

Explanation:

The equation of a circle can be written in the form

(x-h) ^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x − 5)^2 + ( y + 2 )^2 = 81/4

(x − 5)^2 + ( y - -2 )^2 = (9/2)^2

The center is (5, -2) and the radius is 9/2