Find the perimeter of a semicircle whose diameter is 14 cm.

21 cm

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22 cm

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36 cm

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44 cm

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Solution

The correct option is C 36 cm

radius = r = $\frac{d i a m e t e r}{2}$ = $\frac{14}{2}$ = 7 cm
Perimeter of semicircle
= length of arc APB(semicircular) + AB
= half of circumference + diameter
= $\frac{1}{2}$ $\times$ (2 $π$ r) + d
= $π$ r + d
= $\frac{22}{7}$ $\times$ 7 + 14
= 22 + 14 = 36 cm

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Find the perimeter of a semicircle whose diameter is 14 cm.

The correct option is C 36 cm radius = r = diameter2 = 142 = 7 cm Perimeter of semicircle = length of arc APB(semicircular) + AB = half of circumference + diameter = 12×(2πr) + d = πr + d = 227×7 + 14 = 22 + 14 = 36 cm

The correct option is C 36 cm

radius = r = $\frac{d i a m e t e r}{2}$ = $\frac{14}{2}$ = 7 cm
Perimeter of semicircle
= length of arc APB(semicircular) + AB
= half of circumference + diameter
= $\frac{1}{2}$ $\times$ (2 $π$ r) + d
= $π$ r + d
= $\frac{22}{7}$ $\times$ 7 + 14
= 22 + 14 = 36 cm