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?
88.5 ft
88.5 ft²
265.5 ft
265.5 ft²

Respuesta :

Answer

88.5 ft²


Explanation

The first step is the surface area of the semicircle.

Surface area of a circle = πr²

                                        = π × 13²

                                        = 530.929 ft²

Since the semicircle, we divide this by 2.

S.A of the parachute =  530.929/2

                                    = 265.4645 ft²

To get the fabric is needed for each color we divide this by 3.

Fabric needed for each color =  265.4645/3

                                                 = 88.488 ft²

To the nearest tenth, answer  = 88.5 ft²




The total amount of fabric needed to make a single parachute will be 88.5 ft². Each parachute red, white, and blue is of the same area.

What is a semi-circle?

It is a polygon that is having an infinite number of sides. It subtends 180 degrees. It has only one variable which is radius or diameter.

Given

Radius of semi-circle = 13 feet

The fourth of July celebration wants each parachute to be made from equal parts of red, white, and blue fabric.

The area of the semi-circle is given by

[tex]\rm Area\ of\ semi-circle &= \dfrac{\pi r^{2} }{2} \\\\Area\ of\ semi-circle &= \dfrac{\pi *13^{2} }{2} \\\\Area\ of\ semi-circle &= 265.46[/tex]

We have three parachutes that are red, white, and blue.

[tex]\rm Area\ of\ each\ parachute\ = \dfrac{265.46}{3} \\\\Area\ of\ each\ parachute = 88.488[/tex]

Hence the approximate value of 88.488 will be 88.5.

Thus. the Area of each parachute is 88.5 square feet.

More about the semi-circle link is given below.

https://brainly.com/question/24364874