The 88.5 ft² fabric of each color will be needed to make a single parachute canopy.
Given
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.
The area of a semicircle is half of the area of the circle.
The first step is the surface area of the semicircle.
The surface area of a circle is;
[tex]\rm Surface \ area=\pi r^2\\\\Surface \ area=3.14 \times 13^2\\\\Surface \ area =530.929[/tex]
Since the semicircle, we divide this by 2.
S.A of the parachute is;
[tex]\rm =\dfrac{530.929}{2}\\\\= 265.4645[/tex]
To get the fabric is needed for each color we divide this by 3.
The fabric needed for each color is;
[tex]\rm= \dfrac{265.4645}{3}\\\\=88.5[/tex]
Hence, the 88.5 ft² fabric of each color will be needed to make a single parachute canopy.
To know more about semicircles click the link given below.
https://brainly.com/question/1799492