Question

A circle of radius 120m is divided into 8 equal sectors. Find the length of are of are of each of the sectors.​

Answer 1

$\huge\mathfrak \orange{given}$

$\mathbf{r \: = 120m}$

$\huge\mathfrak \blue{solution}$

Circumference of the circle is calculated as -

$\mathbf{c = 2πr}$

$\mathbf{c = 2 × 3.142 × 120}</p><p></p><p>$

$\mathbf{c = 754 m}</p><p>$

As the circle is divided into 8 equal sectors, each sector will have length equal to 1/8th of circumference.

$\mathbf{l = c/8}</p><p>$

$\mathbf{l = 754/8}$

$\mathbf{l = 94.25 m}</p><p>$

Therefore, length of arc of each sector is 94.25 cm.

Answer 2

given

r= 120m

solution

Circumference of the circle is calculated as -

c=2πr

c=2×3.142×120

c=754m

As the circle is divided into 8 equal sectors, each sector will have length equal to 1/8th of circumference.

l=c/8

l=754/8

l=94.25m

Therefore, length of arc of each sector is 94.25 cm.