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Find the area of all shaded regions. Give your answer as a completely simplified exact value in terms of pi. (no approximations)

Find The Area Of All Shaded Regions Give Your Answer As A Completely Simplified Exact Value In Terms Of Pi No Approximations class=

Sagot :

akposevictor

The area of the shaded regions is: 44π

What is the Area of a Circle?

Area of a circle where "r" is the radius is determined using the formula: πr².

The figure given has three circles, namely:

  • Circle A with radius of 8 cm.
  • Circle B with radius of 4 cm.
  • Circle C with radius of 2 cm.

The area of the shaded regions = Area of circle A - Area of Circle B + Area of Circle C

Area of Circle A = (π)(8)² = 64π

Area of Circle B = (π)(4)² = 16π

Area of Circle C = (π)(2)² = 4π

Thus:

The area of the shaded regions = 64π - 16π + 4π

The area of the shaded regions = 44π

Learn more about area of circle on:

https://brainly.com/question/15673093

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