Question

In a circle of diameter 42 cm, if an arc subtends an angle of 60° at the centre, where `pi = 22/7` then length of an arc is ____________.

Options

• 11 cm

• `22/7` cm

• 22 cm

• 44 cm

Answer 1

In a circle of diameter 42 cm, if an arc subtends an angle of 60° at the center, where `pi = 22/7` then the length of an arc is 22 cm.

Explanation:

We have` "r" = 42/1 =21  "cm" and theta = 60^circ `
Length of arc `=theta/360 xx 2pi"r" xx 2 xx 2 xx 22/7 xx 21=22 "cm" `
Hence, the length of the arc of the circle is 22 cm.