Find the length of an arc of a circle whose circumference is 37.5 cm and the centralangle is 150°

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asked Jul 2, 2023 151k views

1 Answer

Kishan Dhankecha · Answer 1 · 2023-07-06T06:27:53+0000

The length of an arc can be calculated using the formula

$\begin{gathered} \text{Length of an arc=}(\theta)/(360^0)*2\pi r \\ \text{where,} \\ \theta=centralangle=150^0 \\ \text{circumference}=2\pi r=37.5cm \end{gathered}$

By substitution, we will have the length of the arc be

$\begin{gathered} \text{length of arc=}(150^0)/(360^0)*37.5\operatorname{cm} \\ \text{length of arc= }(5625)/(360) \\ \text{length of arc=}15.625m \\ \end{gathered}$

Hence,

The length of the arc is =15.625m

Find the length of an arc of a circle whose circumference is 37.5 cm and the centralangle is 150°

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