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Find the area of the shaded region. Round your answer to the nearest tenth.

area: about ___ m2

Find the area of the shaded region Round your answer to the nearest tenth area about m2 class=

Respuesta :

Answer:

Area= about 17 m²

Step-by-step explanation:

We are given a square of length 9 m

Inside the circle we are given 4 quarter circles at the four corners

Radius of circle= 9/2 m=4.5 m

Shaded area= area of square-area of 4 quarter circles

                   = area of square- area of a circle  

   (since 4 times of a quarter equals 1)

                   =  9×9- π×4.5×4.5

                  = 81-63.585

                  = 17.415 m²

Area: about 17 m²

akposevictor

The area of the shaded region, to the nearest tenth, is about: 17.4 m².

Area of a Square

  • Area of a rectangle = s².
  • s is the side length.

Area of Circle

  • 4 quarter circles equals a full circle.
  • Area of a full circle = πr².

There are four quarter circles in the diagram given, therefore:

Area of the shaded region = area of square - area of full circle

= 9² - π(4.5²)

= 17.38.

Therefore, the area of the shaded region, to the nearest tenth, is about: 17.4 m².

Learn more about area on:

https://brainly.com/question/13515841

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