the canopy of a parachute is a semicircle with a radius of 13 feet. a company that is making parachutes for…

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?\n○ 88.5 ft\n○ 88.5 ft²\n○ 265.5 ft\n○ 265.5 ft²

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?\n○ 88.5 ft\n○ 88.5 ft²\n○ 265.5 ft\n○ 265.5 ft²

Answer

Explanation:

Step1: Find semicircle area formula

The area of a full circle is $A_{full}=\pi r^2$, so the area of a semicircle is $A_{semi}=\frac{1}{2}\pi r^2$.

Step2: Substitute radius $r=13$ ft

$A_{semi}=\frac{1}{2} \times \pi \times 13^2 = \frac{1}{2} \times \pi \times 169 \approx \frac{1}{2} \times 3.14 \times 169 = 265.33$ ft²

Step3: Divide by 3 equal color parts

$A_{color}=\frac{265.33}{3} \approx 88.5$ ft²

Answer:

B. 88.5 ft²