# Find the area of the sector of a circle whose radius is 14 cm and angle of sector is 45º - Mathematics

Sum

Find the area of the sector of a circle whose radius is 14 cm and angle of sector is 45º

#### Solution

We know that the area A of a sector of angle θ in a circle of radius r is given by

A=\frac{\theta }{360}\times\pi r^{2}

Here, r = 14 cm and θ = 45

\therefore A=\{ \frac{45}{360}\times \frac{22}{7}\times(14)^{2}}

={ \frac{1}{8}\times \frac{22}{7}\times 14\times 14}

= 77 cm2

Concept: Circumference of a Circle
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