Questions: Find the length of the bold arc shown below. 275π/24 ft 10560π ft 64π ft 22π/3 ft

Find the length of the bold arc shown below. 275π/24 ft 10560π ft 64π ft 22π/3 ft
Transcript text: Find the length of the bold arc shown below. $\frac{275 \pi}{24} \mathrm{ft}$ $10560 \pi \mathrm{ft}$ $64 \pi \mathrm{ft}$ $\frac{22 \pi}{3} \mathrm{ft}$
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Solution

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Solution Steps

Step 1: Convert the angle to radians

The given angle is 165°. To convert to radians, multiply by π/180:

165° * (π/180) = (11π/12) radians

Step 2: Calculate the arc length

The arc length (s) is found using the formula s = rθ, where r is the radius and θ is the angle in radians.

s = 8 ft * (11π/12)

Step 3: Simplify

s = (88π/12) ft = (22π/3) ft

Final Answer

(22π/3) ft

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