Question

find the area of the segment of a circle of r=14 cm when the angle of the corresponding sector is 30°.

Answer 1

Given
Radius =14cm

Angle =30°

Area of segment =
$\frac{ \alpha }{360} \times \pi {r}^{2}$
=
$\frac{30}{360} \times \frac{22}{7} \times 14 \times 14$
=
$\frac{1}{12} \times 22 \times 2 \times 14$
=
$\frac{108}{6} {cm}^{2}$
=51.333cm²


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