Question

what is the area of the shaded portion in the figure? If, it is a square and the lines are parts of a circle and the side of the square is 10 unit. Give answers in terms of pi.

Answer 1

Explanation:

The shaded portion in the figure is a quarter-circle with a radius of half the side length of the square, or 10/2 = 5 units.

The area of a circle can be calculated using the formula:

A = πr^2

Where r is the radius and π is pi (approximately equal to 3.14).

So the area of a quarter-circle with a radius of 5 is:

A = (π * 5^2) / 4 = (π * 25) / 4 = 25π / 4

This is the area of the shaded portion in the figure.