Question

Please answer this correctly

Answer 1

12.49 ft²

Explanation:

The straight parts of P are both r,

So 2r + 2πr / 4 = 14.28

r (2 + π/2) = 14.28

r = 14.28 / 3.57 = 4

the area will be πr²/4 ≈ 12.56 ft²

Answer 2

Answer: 12.56 ft²

Explanation:

Perimeter of a circle is known as the circumference.

C = 2π·r where r is the radius.

Perimeter of the curve of the quarter circle + both sides

`Perimeter=(1)/(4)Circumference+2\ sides\\\\\\P = (1)/(4)2\pi \cdot r+2r\\\\\\14.28=(\pi\cdot r)/(2)+2r\\\\\\28.56=\pi \cdot r+4r\\\\\\28.56=r(\pi +4)\\\\\\(28.56)/(\pi +4)=r`

A = π·r²

`(1)/(4)A=(1)/(4)\pi \cdot r^2\\\\\\.\quad =(1)/(4)\pi \bigg((28.56)/(\pi +4)\bigg)^2\\\\\\.\quad =(1)/(4)(3.14)\bigg((28.56)/(7.14)\bigg)^2\\\\\\.\quad = \large\boxed{12.56}`