Question

Find the area of a sector of a circle with radius 6 centimeters and central angle 4pi/3 radians.​

Answer 1

The area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.​

What is a circle?

It is defined as the combination of points that and every point has an equal distance from a fixed point (called the center of a circle).

We have the radius of the circle r = 6 centimeters

Central angle = 4π/3 = 240°

We know the area of the sector :

$\rm =\dfrac{\theta}{360\°}\pi r^2$

$\rm =\dfrac{240\°}{360\°}\pi (6)^2$

= 0.667×3.1415×36

= 75.43 square centimeters

Thus, the area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.​

Learn more about circle here:

brainly.com/question/11833983

#SPJ1