Question

A circle has a radius of 4cm A sector of the circle has a central angle of 3pi/4 radians. Find the area of the sector. Do not round any intermediate computations. Round your answer to the nearest tenth.

Answer 1

Answer:

$18.9 cm^2$

Step-by-step explanation:

Radius of the Circle = 4cm

Central Angle of the Sector =$\frac{3\pi}{4}$

Area of a Sector (In Radian)  $=\frac{\theta}{2\pi} X \pi r^2$

$=\frac{3\pi}{4*2\pi} X \pi *4^2\\=18.85cm^2$

Area of the Sector =$18.85 cm^2 \approx 18.9cm^2$ (To the nearest tenth)