Find the angle subtended by an arc 33cm long of a circle of diameter 28cm.

Explanation

Length of Arc = \(\frac{\theta}{360}\) x 2\(\pi\)r

Length of arc = 33cm, diameter = 28cm → r = 14cm

33 = \(\frac{\theta}{360} \times 2 \times \frac{22}{7}\times14\)

\(\theta\) = \(\frac{33 \times 180}{22 \times 2}\)

\(\theta\) = 135º

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