Question

What angle in radians is subtended by an arc 3m in length on the circumference of a circle whose radius is 2m?

Answer 1

Answer

• 1.5 radians is subtended

Given

• An angle is subtended by an arc 3 m in length on the circumference of a circle whose radius is 2 m

To Find

• Angle in radians

Solution

Find attachment for clear vision about circle , arc length and radius .

Arc length , s = 3 m

Radius , r = 2 m

Angle , θ = ? radians

We know that , " Arc length is equals to product of radius and angle between them "

⇒ s = rθ

⇒ 3 = 2 ( θ )

⇒ θ = 1.5 radians

So , Angle in radians = 1.5 radians