Question

A circle has a radius of 8.5m. A sector of the circle has a central angle of 40°. Find the area of the sector. Do not round any intermediate computations. Round your answer to the nearest tenth. m Х 5 ?

Answer 1

we are given

$\theta=40 degree$

we can change into radian

T 6 = 40x 180

$r=8.5$

we can use area of sector formula

А = = xөx r2

now, we can plug values

$A=\frac{1}{2}\times (40\times \frac{\pi}{180}) \times (8.5)^2$

so, we get

$A=25.2$...........Answer