Question

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.

Answer 1

Answer:

• P = 8π
• A = 32π - 64

Step-by-step explanation:

Given

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

Perimeter of the shape is sum of two quarter circles:

• P = 2*1/4*2πr = πr
• P = 8π

The area is calculate as follows:

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

Answer 2

The answer is

Perimeter = 8π

Area = 32π - 64