Question

What is the radius and center for (x - 2)2 + y2 16? 0000 A. r = 16; center is (2,0) B. r = 4; center is (-2,0) C. r = 16; center is (-2,0) D. r = 4; center is (2,0)​

Answer 1

General equation

• (x-h)²+(y-k)²=r²

Where centre is (h,k)

radius is r

• (x-2)²+(y-0)²=4²

Radius=4

centre (2,0)

Answer 2

• D. r = 4; center is (2, 0)

Explanation:

Equation of a circle:

• (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius

Given equation:

• (x - 2)² + y² = 16

Rewrite as:

• (x - 2)² + (y - 0)² = 4²

The center is (2, 0)

The radius is r = 4

Correct choice is D