Question

find the exact area of a sector if the radius of the circle is 4 cm, and the angle of the sector is π radian.

Answer 1

Area of sector = 8π cm²

Explanation:

For angle in degrees:

Area of sector = θ/360 × πr²

For angle in radians:

Area of sector = 1/2 r²θ

radius = 4 cm

angle of the sector = π radian

Area of sector = 1/2 × (4)² × π = 16/2 × π

Area of sector = 8π cm²