Find the length of an arc of a circle of radius 6 cm which subtends an angle of 30° at the centre.
- 3.14 cm
- 1.4 cm
- 2.14 cm
- None of these
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
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