Question

Calculate the area of sector whose radius and arc length are 6cm and 20cm respectively

Answer 1

Step-by-step explanation:

arc of length= l =6cm

radius= r = 20cm

let angle denoted =x

we know that

arc of length= 2πrx/360°

then

x =l×360°/2πr

x=6×360/2π20

x= 54/π

now,

area of sector=πr^2x/360

=π(20)^2 ×54

360×π

=400×54

360

=40×6

4

=60cm^2