An arc of a circle of radius 14cm subtends angle 300° at the centre. Find...

An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = \(\frac{22}{7}\))

Length of the arc = \(\frac{\theta}{360} \times 2\pi r\)

= \(\frac{300}{360} \times 2 \times \frac{22}{7} \times 14\)

= \(\frac{220}{3}\)

= 73.33 cm

Perimeter of the sector = Length of the arc + 2r

= 73.33 + 2(14)

= 101.33 cm

There is an explanation video available below.

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