Question

Find the length of an arc of a circle of radius 5 cm subtending a central angle measuring 15° ?​

Answer 1

Answer:

Length of arc = 5π/12 cm.

⚡Hope it will help you.⚡

Answer 2

$\huge\star{\bold{\underline{\boxed{\boxed{\tt{\red{Answer}}}}}}}\star$

$\large\star\star{\underline{\underline{\blue{\mathfrak{Explanation}}}}}\star\star$

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$\star$ Let S be the length of the arc subtending an angle $\theta$ at the center of a circle of radius r then $\theta$ = $\huge\bold{\frac{s}{r}}$

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Here,

r =5cm

$\theta$ = 15°

=[15 x $\bold{\large{\frac{\pi}{180}}}$ ]

=[ $\large\bold{\frac{\pi}{12}}$ ]

so now

$\theta$ =15°

$\frac{\pi}{12} = \frac{s}{5} \\ s = \frac{5\pi}{12}$

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