Find the length of an arc of a circle of radius 6 cm which subtends an angle of 30° at the centre.

Find the length of an arc of a circle of radius 6 cm which subtends an angle of 30° at the centre.

Explanation

To find the length of the arc:

First, convert the angle from degrees to radians:

30° = (30 × π) / 180 radians

= π/6 radians

Now, use the formula for arc length:

Arc length = radius × angle (in radians)

= 6 × (π/6)

= π

Approximating π as 3.14:

Arc length ≈ 3.14 cm