Question

Which equation of a circle represents the picture?

Answer 1

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:

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

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

$(x-0)^{2}+(y-0)^{2}=5^{2}$

$(x)^{2}+(y)^{2}=25$

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

Hence Option D is the correct answer.