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The following three shapes are based only on squares, semicircles, and quarter circles. find the perimeter and the area of each shaded part. give your answer as a completely simplified exact value in terms of π (no approximations).

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The following three shapes are based only on squares semicircles and quarter circles find the perimeter and the area of each shaded part give your answer as a c class=

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ChoiSungHyun

Step-by-step explanation:

Area of Shaded part

= 2 * Area of Quarter-circle - Area of Square

= 0.5π(8)² - 8²

= 32(π - 2)cm².

Perimeter of Shaded part

= 0.5 * 2π(8)

= 8πcm.

adioabiola

The perimeter of the shaded part is 8πcm and the area of the shaded part is 8πcm and 0.5π(8)² - 8² respectively

Perimeter and area of a circle

Radius, r = 8 cm

  • Perimeter of a circle = 2πr

  • Perimeter of s quarter circle = 2πr/4

= 1/2πr

Perimeter of Shaded part = 1/2 * 2πr

= 1/2 × 2 × π × 8

= 8πcm.

  • Area of a circle = 2πr²

  • Area of quarter circle = 2πr²/4

= 1/2πr²

  • Area of a square = length ²

Area of Shaded part

= Area of Quarter-circle - Area of Square

= 0.5π(8)² - 8²

Learn more about area of quarter circle:

https://brainly.com/question/21938535

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