Explanation

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

Area of sector = (Angle of sector / 360) x (pi x (radius)^2)

where the angle of the sector is measured in degrees and the radius is measured in the same units (e.g. cm).

Given the radius of 5 cm and an angle of 96 degrees, we can substitute the values into the formula and calculate the area:

Area of sector = (96 / 360) x (pi x (5)^2) Area of sector = (0.2667) x (pi x 25) Area of sector = (0.2667) x 78.5398 Area of sector = 21.0014 sq cm

So the area of a sector of a circle with radius of 5 cm and an angle of 96 degrees is approximately 21.0014 square centimeters.