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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.

What is the surface area of a semicircle?

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