The area (in sq. units) of the region enclosed by the circle with centre at the origin that passes through the point (5, 12) is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \(169\pi\)
The circle is \(x^{2}+y^{2}=r^{2}\). Since (5, 12) lies on it, the square of the radius is
\(r^{2} = 5^{2}+12^{2} = 169\)
The area enclosed is
\(\pi r^{2} = 169\pi\)