Question :Find the area of the sector of a circle of radius 7 cm and of central angle 90°. Also, find the area of corresponding major sector. The correct answer :The area of a sector of a circle is given by: Area of sector = (θ/360) x πr^2 where θ is the central angle in degrees and r is the radius of the circle. Given, the radius of the circle is 7 cm and the central angle is 90°. Area of sector = (90/360) x π(7)^2 = (1/4) x 49π = 12.25π ≈ 38.48 cm^2 To find the area of the corresponding major sector, we subtract the area of the minor sector from the area of the whole circle. The area of the whole circle = πr^2 = π(7)^2 = 49π Area of major sector = πr^2 - area of minor sector = 49π - 12.25π = 36.75π ≈ 115.27 cm^2 Therefore, the area of the major sector is approximately 115.27 cm^2.
