Question

Radius of a circle is 10 cm. Measure of an arc of the crcleis 54^°. Find the area of the sector associated with the arc. ( $\mathrm{\pi }$= 3.14 )

Answer 1

Radius of the circle, r = 10 cm

Measure of the arc, θ = 54º

∴ Area of the sector = $\frac{\theta }{360°}\times \mathrm{\pi }{r}^2=\frac{54°}{360°}\times 3.14\times {\left(10\right)}^2$ = 47.1 cm²

Thus, the area of the sector is 47.1 cm².