Question

Find the area of the shaded region

Answer 1

We know that, Area of a Circle is given by : πR²

Where : R is the Radius of the Circle.

We can Notice that : The Given Figure is One - Fourth of the Circle with Radius 'R'

$\mathsf{\implies Area\;of\;One\;Quarter\;of\;the\;Circle = \frac{\pi R^2}{4}}$

We can Notice that : The Quarter of the Circle is divided into 3 Equal Parts and The Shaded Region is One of the Equal Part.

$\mathsf{\implies Area\;of\;Shaded\;Region = \frac{\frac{\pi R^2}{4}}{3}}$

$\mathsf{\implies Area\;of\;Shaded\;Region = {\frac{\pi R^2}{12}}}$

Answer 2

The area is answer D