Question

The area of the circle centred at $(1,2)$ and passing through $(4,6)$ is

• A. $5\pi$
• B. $10\pi$
• C. $25\pi$
• D. None of these

Answer 1

Answer: (C)

$25\pi$

Solution:

Given that:

Centre of the circle is $(1,2)$

$\because CP=\sqrt{3^2+4^2}=5$ units $=$ Radius of the circle

$\therefore$ Required area of the circle $=\pi r^2=\pi \times 5^2=25\pi$

Hence, C is the correct option.