Mathematics

In the figure (i) given below, the radius is 3.5 cm. Find the perimeter of the quarter of the circle.

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Perimeter of quarter of circle = $\dfrac{2πr}{4} + 2r = \dfrac{πr}{2} + 2r$

Substituting values we get,

$= \dfrac{\dfrac{22}{7} \times 3.5}{2} + 2 \times 3.5 \\[1em] = \dfrac{22 \times 0.5}{2} + 7 \\[1em] = \dfrac{11}{2} + 7 \\[1em] = 12.5 \text{ cm}.$

Hence, perimeter of quarter of circle = 12.5 cm.

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