Question

Please answer this correctly

Answer 1

The area of the quarter circle = 254.34 m²

Explanation:

If the perimeter of a quarter circle = 128.52 m

r + r + 1/4 * 2pi*r = 128.52 m

2r + 1/2r * pi = 128.52 m

r * ( 2 + 1/2 * pi ) = 128.52 m

r * ( 4 + 1 * pi ) = 128.52 m

r * ( 4 + 3.14 ) = 128.52 m

r * ( 7.14 ) = 128.52 m

7.14 * r = 128.52 m

Divide left and right of the equal sign by 7.14

7.14 / 7.14 * r = 128.52 / 7.14

r = 128.52 / 7.14

r = 18 m

Area full circle = r² * pi

18² * pi

324 * pi

We need to calculate a quarter part of the area of the full circle, so

1/4 * 324 * pi

81 * pi

81 * 3.14

254.34 m²

The area of the quarter circle = 254.34 m²

Answer 2

50.24

Hope this helps!

Explanation:

So the perimeter of a quarter circle is
`(D\pi )/(4) +2r = (D\pi )/(4) +D`

Now you can solve the equation for the diameter:

`(D\pi )/(4)+D=128.52`

`D\pi +4D=514.08`

`D(\pi +4)=128.52`

`D=18`

Now since the diameter is 18, the radius is 4.

16 * 3.14 = 50.24