What is the area of a sector of a circle with a radius of 8 inches and an angle of 45 degrees?
The area of the sector is defined as the area of the part of the circle, defined by the angle of the sector.
Answer: The area of the sector of the circle with a radius of 8 inches and an angle of 45 degrees is 25.13 inch2.
Go through the explanation to understand better.
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]