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

In the figure, the radius is 3.5 cm. Find the perimeter of the quarter of the circle. Mensuration, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

Mensuration

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Answer

Perimeter of quarter of circle = 2πr4+2r=πr2+2r\dfrac{2πr}{4} + 2r = \dfrac{πr}{2} + 2r

Substituting values we get,

=227×3.52+2×3.5=22×0.52+7=112+7=12.5 cm.= \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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