Question

find the length of the arc of a circle of diameter 42 cm which subtend an angle of 60 degree at the Center.

Answer 1

d=42cm
r=1/2d
=1/2*42
r=21cm
angle=60°
l=subtended angle/360×2πr
l=60/360×2×22/7×21
l=1/6×2×22×3
l=132/6
l=22cm
the length of an arc is 22cm

Answer 2

The length of the arc of a circle = 22 cm.

Step-by-step explanation:

Given,

The diameter of circle (d) = 42 cm and subtend an angle(Ф) = 60°

To find, the length of the arc of a circle = ?

∴  The radius of circle (r) = $\dfrac{42}{2}$ cm = 21 cm

We know that,

The length of the arc of a circle =$\dfrac{\theta}{360} \times 2\pi r$

$=\dfrac{60}{360} \times 2\times \dfrac{22}{7} \times 21$

$=\dfrac{1}{6} \times 2\times 22 \times 3$

$=\dfrac{1}{6} \times 6\times 22$

= 22 cm

Hence, the length of the arc of a circle = 22 cm.