Question

The area of the circle whose centre is at $(1,2)$ and which passes through the point $(4,6)$ is

(a) $5 \pi$

(b) $10 \pi$

(c) $25 \pi$

(d) None of the above

Answer 1

SOLUTION — Radius $r=\sqrt{(4-1)^2+(6-2)^2}=\sqrt{9+16}=5$

$\therefore$ Area of circle $=\pi r^2=25 \pi$

So, The correct option of this question will be (C).