What is the area of a sector of a circle with a radius of 8 inches and an angle of 45 degrees?

Solution:

The area of the sector is defined as the area of the part of the circle, defined by the angle of the sector.

Area of Sector of the circle:

The area of the sector is defined as the area enclosed by the angle made within the circle.

Area of circle =  π r², where r is the radius of the circle.

Area of a sector of the circle= θ/360° × π r², where θ is the angle made by the sector.

The area made by the sector of 45 degrees = 45/360 × π r²

Area of the sector = 1/8× πr² = 1/8 × π(8)² = 8π = 25.13 inch²  [ Since, radius = 8 inch]

Thus, the area of the sector of the circle with 45 degrees angle and 8-inch radius is 25.13 inch².

What is the area of a sector of a circle with a radius of 8 inches and an angle of 45 degrees?

Summary:

The area of the sector of the circle with a radius of 8 inches and an angle of 45 degrees is 25.13 inch².