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:
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
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
[tex](x-0)^{2}+(y-0)^{2}=5^{2}[/tex]
[tex](x)^{2}+(y)^{2}=25[/tex]
Equation of a circle represents in the picture is (x)² + (y)² = 25.
Hence Option D is the correct answer.
