Question

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

Explanation:

Step1: Find area of semicircular canopy

The formula for the area of a full circle is \( A = \pi r^2 \), so for a semicircle, it's \( A=\frac{1}{2}\pi r^2 \). Given \( r = 13 \) feet, substitute:
\( A=\frac{1}{2}\times\pi\times13^2=\frac{1}{2}\times\pi\times169\approx\frac{1}{2}\times3.14\times169 = 265.33 \, \text{ft}^2 \) (approximate with \( \pi\approx3.14 \)).

Step2: Divide area into 3 equal parts

Since the fabric is divided equally into 3 colors, each color's fabric area is \( \frac{265.33}{3}\approx88.5 \, \text{ft}^2 \).

Answer:

B. \( 88.5 \, \text{ft}^2 \)