Question

find the length of the arc of a circle of radius 5 cm. substending a central angle measuring 15°.

Answer 1

STEP 1: Find the circumference of the full circle

Circumference = 2πr

Circumference = 2π(5) = 10π

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STEP 2: Find the length of the arc

Given that the angle is 15°

Length of arc = 15/360 x 10π

Length of arc = 5/12π

Length of arc = 1.31 cm

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Answer: Length of arc = 1.31 cm

Answer 2

Answer:Let s be the length of the arc subtending angle α at the centre of circle of radius r.

Then,α=s/r. Here,r=5cm and α=15°=(15xπ/180)=(π/12)radian

Therefore,α=s/r=>π/12=s/5

=>s=5π/12cm

Hope its helps you