Question

Area of a sector

Find the area of a sector of a circle having the radius of 6 cm and subtended by the central angle with measure 135°.

A circle has a radius of 10 inches and subtended by a central angle of 7π/6 radian. Find the area of a sector?

Find the area of a sector of a circle with central angle that measure 75° if the radius of a circle is 6m?

Answer 1

a. Area(A) of an arc = $\pi r^2 (\frac{{1}}{360}\theta$ )

A= $\pi \times 6^2 \times (\frac{{135}}{360})$

A= 42.4115 cm$^2$

b. $\theta= \frac{7}{3}\pi^r= 210^0$

area = $\pi \times 10^2 \times (\frac{{210}}{360})$

area= 183.2596 inch$^2$

c. area = $\pi \times 6^2 \times (\frac{{75}}{360})$

area = 23.5619 m$^2$