Identify the radius of the circle whose equation is (x - 2)² + (y - 8)² = 16.

Solution:

Given: (x - 2)² + (y - 8)² = 16

The equation of a circle with center (h, k) and radius (r) is given by,

(x − h)² + (y − k)² = r² ---------------- (1)

(x - 2)² + (y - 8)² = (4)² -------------- (2)

Comparing the values of h, k and r in (1) and (2) we get,

Center (h, k) = (2, 8)

Radius (r) = 4

r = ± 4

Since radius means length, it cannot be negative.

Hence, the radius of the circle is 4

Identify the radius of the circle whose equation is (x - 2)² + (y - 8)² = 16.

Summary:

The radius of the circle whose equation is (x - 2)² + (y - 8)² = 16 is 4.