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:
Answer & explanation
Correct answer: option 2
We know that,
Area of the circle = πr2
Area of the right-angled triangle = (1/2) × Base × Height
In ΔLMN
LM = LN = radius
Area of right-angled ΔLMN = \(\frac{1}{2}\) × r × r
= 36 = \(\frac{r^2}{2}\)
= r2 = 72
Area of the circle = πr2 = 72π