Mathematics: Acircle has a radius of 17 cm find the length s of the arc intercepted by a central angle of 66 degrees

Acircle has a radius of 17 cm find the length s of

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ethann47

13.03.2022

Arc length (s) = radius (r) x θ (in radians)

First, convert 66° into radians using the proportion π = 180°
$\frac{ \pi}{180} = \frac{x}{66}$
$\frac{66 \pi }{180} = x$
$\frac{11 \pi }{30} = x$

s = r θ
= 17 ( $\frac{11 \pi }{30}$ )
= $\frac{187 \pi }{30}$

$\frac{187 \pi }{30}$ ≈ 19.6 cm

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Ответ:

villafana36

13.03.2022

Mathematics

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Acircle has a radius of 17 cm find the length s of the arc intercepted by a central angle of 66 degrees

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