MATH SOLVE

4 months ago

Q:
# The canopy of a parachute is a semicircle with a radius of 13 feet. A company that is making parachutes for a Fourth of July celebration wants each parachute to be made from equal parts of red, white, and blue fabric. Approximately how much fabric of each color will be needed to make a single parachute canopy? (1). 88.5 ft (2). 88.5 ft² (3). 265.5 ft(4). 265.5 ft²

Accepted Solution

A:

ANSWER(2). 88.5 ft²EXPLANATIONThe parachute is in the form of a semicircle, so the area of the entire parachute can be calculated using the formula,Area=½ πr² The radius is 13cm.We substitute the radius to get[tex]Area= \frac{1}{2} \pi \times {13}^{2} [/tex][tex] = 265.46457922834 \: \: {ft}^{2} [/tex]The company required that, each parachute be made from equal parts of red, white, and blue fabric.Hence, the fabric of each color needed is [tex] = \frac{265.46457922834}{3} = 88.4882[/tex]To the nearest tenth, we have,[tex] = 88.5 {ft}^{2} [/tex]