To find the length of an arc, you use the formula:
Arc Length = (angle/360) * 2 * pi * radius
In this case, the angle is 120 degrees, the radius is 42ft, and we know that the arc length is shown in red.
Plugging in the values, we get:
Arc Length = (120/360) * 2 * pi * 42 ft
Arc Length = (1/3) * 2 * pi * 42 ft
Arc Length = (2/3) * pi * 42 ft
Arc Length = (2 * 42/3) * pi ft
Arc Length = 28 * pi ft
So, the length of the red arc is 28 pi ft.
Find the length of the arc shown in red. Leave your answer in terms of pi. 120°
42ft
1 answer