Question

An arc of a circle is 36 length is 176 m find circumference

Answer 1

$\huge\mathbb{A~N~S~W~E~R}$

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Length of arc AB = 176 m.

$176 = \frac{360}{36} \times 2 \times \frac{22}{7} \times \: r \\ \\ 176 = 10 \times 2 \times \frac{22}{7} \times r \\ \\ \frac{176 \times 7}{22 \times 20} = r \\ \\ r = 2.8 \: m$

We know that,

Circumference of circle = 2πr

$= 2\pi r \\ \\ = 2 \times \frac{22}{7} \times 2.8 \\ \\ = 17.6 \:m$

${\huge\color{Red}{Answer~is~17.6~m~. }}$

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