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julia-pushkina [17]
3 years ago
11

PLS HELP, 100 BRAINLIEST POINTS. FIND BOTH AREA AND PERIMETER. The following three shapes are based only on squares, semicircles

, and quarter circles. for each shape, find the area and perimeter. Give your answer as a completely simplified exact value in terms of pi.

Mathematics
2 answers:
Anarel [89]3 years ago
5 0

Answer:

  • P = 8π
  • A = 32π - 64

Step-by-step explanation:

<u>Given </u>

  • Square of 8 cm and part of the circle of same radius

<u>Perimeter of the shape is sum of two quarter circles:</u>

  • P = 2*1/4*2πr = πr
  • P = 8π

<u>The area is calculate as follows:</u>

Half of the area of the shape is the difference of the quarter-sector of the circle and half-area of the square

  • 1/2A = 1/4πr² - 1/2*8²
  • A = 1/2π*8² - 64 = 32π - 64
  • A = 32π - 64
katovenus [111]3 years ago
3 0

The answer is

Perimeter = 8π

Area = 32π - 64

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