Question

$\huge \fbox \red{❥ Question}$


Find the area of the sector of a circle with radius 4cm and of angle 30°. Also, find the area of the corresponding major sector.​

Answer 1

We have,

Let the radius of circle r=4cm.

Angle θ=30°

Area of sector of circle

= 360°/θ ×πr²

= 360°/30° ×π×4×4

= 12/π ×16

= 3/4π

= 3/4 ×3.14

=4.186cm²

Area of major sector = Area of circle-area of minor sector

=πr² −4.186

=3.14×4×4−4.186

=3.14×16−4.186

=50.24cm.²

Hence, this is the answer