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: Calculate semicircle area

The area of a full circle is $\pi r^2$, so a semicircle is $\frac{1}{2}\pi r^2$. Substitute $r=13$:
$$\text{Total Area} = \frac{1}{2} \times \pi \times 13^2 = \frac{1}{2} \times \pi \times 169 \approx 265.46 \text{ ft}^2$$

Step2: Divide by 3 for equal parts

Split the total area into 3 equal color sections:
$$\text{Area per color} = \frac{265.46}{3} \approx 88.5 \text{ ft}^2$$

Answer:

88.5 ft²