#### Question

The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is - 210^{°} find the area of the sector in case.

#### Solution

The radius of the sector of the circle, r = 7 cm

Measure of arc of the sector = θ = 210º

∴ Area of the sector = \[\frac{\theta}{360º } \times \pi r^2 = \frac{30° }{360º } \times \frac{22}{7} \times \left( 7 \right)^2\] = 89.83 cm^{2 }

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Solution The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is - 210° find the area of the sector in case. Concept: Perimeter and Area of a Circle.