Answered

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Find the area of the shaded portion of the sector
shown below. Round your answer to the nearest
integer

Find The Area Of The Shaded Portion Of The Sector Shown Below Round Your Answer To The Nearest Integer class=

Sagot :

The area of the shaded region is 75.5cm^2.

The radius of the inner circle=10cm

The radius of the outer circle=14cm

angle made by sector is 90 degrees.

What is the formula for the area of the sector making an angle theta?

[tex]A=\frac{\theta}{360}\times \pi r^2[/tex]

For an outer sector

[tex]Area of the sector=\frac{90}{360} \times \frac{22}{7} \times 14^2[/tex]

area of the sector=154cm^2

Now we have to find the area of the sector for the inner circle.

[tex]Area of the sector=\frac{90}{360} \times \frac{22}{7} \times 10^2[/tex]

Area of sector=78.5cm^2

Area of the shaded region =area outer sector - area of inner sector

Area of the shaded region=154-78.5.

Area of the shaded region75.5cm^2.

To learn more about the area of sector visit:

https://brainly.com/question/1611459

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