#### Question

The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is - 30

^{° }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 = 30º

∴ Area of the sector = \[\frac{\theta}{360°} \times \pi r^2 = \frac{30°}{360°} \times \frac{22}{7} \times \left( 7 \right)^2\] = 12.83 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 - 30° Find the Area of the Sector in Case. Concept: Perimeter and Area of a Circle.