SSC CHSL 2020 PYQ — Question 62

SSC CHSL - 12th October 2020 - Shift 2 • Quantitative Aptitude • Q62

In the figure, L is the centre of the circle, and ML is the perpendicular to LN. If the area of the triangle MLN is 36, then the area of the circle is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e 72 π.

Understanding Application

In the given triangle radius of the circle is the height and base of the triangle because it is a right-angle triangle.

Area of triangle = (1/2) base x height 

Area of triangle = (1/2) r x r = 36

r2=36 x 2

Area of circle = π r2

= π x 36 x 2 = 72π