Question

Round your answer to the nearest tenth. Enter your answer and also show your work to demonstrate how you determined your answer. Review the rubric below to see how you will be evaluated

Answer 1

A sector is a part of a circle that is made up of two radii and an arc. The area of the given sector is 18.8 $m^{2}$.

A sector is a part of a circle that is made up of two radii and an arc. It has a measure of the central angle.

The area of a sector can be determined by;

Area of a sector = (θ/ 360) * 2πr

Where θ is the central angle formed, and r is its radius.

In the given question, it can be observed that:

θ = 270, r = 4 m, and given that π = 3.14

Thus,

Area of the sector = (270)/ 360) * 2 * 3.14 * 4

                               = 0.75*2*3.14*4

                               = 18.84

Therefore, the area of the given sector is 18.8 $m^{2}$.

For more clarification on the area of a sector, visit: brainly.com/question/16802755

#SPJ1