Question

Please answer this correctly

Answer 1

3769.57

Explanation:

the perimeter of semicircle is

P = d + πd/2

251.86 = d + (3.14d/2)

multiply both side with 2

503.72 = 2d + 3.14d

503.72 = 5.14 d

d = 98 miles

d is diameter, then the radius is 98 : 2 = 49

Area of semicircle

A = ½ π r²

A = 0.5 x 3.14 x 49²

A = 3769.57 miles²

Answer 2

Answer: 3769.57 miles²

Explanation:

The perimeter of the semi circle is the sum of the curve and the diameter.

Perimeter of curve

`(1)/(2)C=(1)/(2)2\pi r\\\\\\.\quad =\pi r\\`

Diameter of the semi circle = 2r

`P = \pi r+2r\\\\\\251.86=r(\pi +2)\\\\\\(251.86)/(\pi +2)=r\\\\\\(251.86)/(5.14)=r\\\\\\49=r`

Area of the curve

`(1)/(2)A=(1)/(2)\pi r^2\\\\\\.\quad =(1)/(2)(3.14)(49)^2\\\\\\.\quad =\large\boxed{3769.57}`