Question

OAB is a sector of a circle with centre O and radius 7 cm. If the length of arc `bar(AB) = 22/3` cm, then ∠AOB is equal to ______.

Options

• `(120/7)^°`

• 45°

• 60°

• 30°

Answer 1

OAB is a sector of a circle with centre O and radius 7 cm. If the length of arc `bar(AB) = 22/3` cm, then ∠AOB is equal to 60°.

Explanation:

Given r = 7 cm

Length of arc = `22/3` cm

∵ Length of arc = `2πr xx θ/(360°)`

`22/3 = 2 xx 22/7 xx 7 xx θ/(360°)`

`1/3 = θ/(180°)`

θ = 60°