# 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. - Geometry

#### 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 cm2

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#### APPEARS IN

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.
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