Question

Earthworms decide to protest against the climate change. They occupy an area where no humans can come.
The earthworms occupy the 'Green' coloured portion as shown in the figure. Find the area of the green portion that earthworms occupy. (Take $\pi =\frac{22}{7}$)

• A. $196mile{s}^2$
• B. $154mile{s}^2$
• C. $42mile{s}^2$
• D. $350mile{s}^2$

Answer 1

The correct option is C $42mile{s}^2$

The area of the green portion would be obtained by subtracting the area of a quarter of a circle from the area of the square.

Square formed would be:

And the quarter of the circle eliminated from it would look like:

Area of the square $=14\times 14$
Area of the square $=196mile{s}^2$

Area of the quarter circle $=\frac{1}{4}\times \pi (r{)}^2$
Area of the quarter circle $=\frac{1}{4}\times \frac{22}{7}\times (14{)}^2$
Area of the quarter circle $=154mile{s}^2$

Required Area $=196-154$
Required Area $=42mile{s}^2$