Which equation of a circle represents the picture?
A. (x - 5)² + (y - 5)² = 25
B. (x + 5)² + (y + 5)² = 10
C. (x)² + (y)² = 10
D. (x)² + (y)² = 25

Option D:

Equation of a circle is (x)² + (y)² = 25.

Solution:

Given points on the circle are

P(–5, 0), Q(0, 5), R(5, 0) and S(0, –5).

Radius of the circle = 5 units

Center of the circle = (0, 0)

Equation of a circle formula:

where (h, k) be the center of the circle and r be the radius of the circle.

Substitute (0, 0) and r = 5 in the formula, we get

Equation of a circle represents in the picture is (x)² + (y)² = 25.

Hence Option D is the correct answer.