Question

Please answer this correctly

Answer 1

Answer:

12.49 ft²

Step-by-step 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

Step-by-step 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

$Perimeter=\dfrac{1}{4}Circumference+2\ sides\\\\\\P = \dfrac{1}{4}2\pi \cdot r+2r\\\\\\14.28=\dfrac{\pi\cdot r}{2}+2r\\\\\\28.56=\pi \cdot r+4r\\\\\\28.56=r(\pi +4)\\\\\\\dfrac{28.56}{\pi +4}=r$

 

A = π·r²

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