in circle u below, vt = 90 inches. what is the length of arc zv? \boxed{}π inches

Question

Accepted Answer

# Explanation:
## Step1: Find the radius of the circle
VT is a diameter (since it passes through the center U), so the radius $ r $ is half of VT. Given $ VT = 90 $ inches, then $ r=\frac{90}{2}=45 $ inches.

## Step2: Recall the arc length formula
The formula for the length of an arc with central angle $ \theta $ (in degrees) is $ \text{Arc Length}=\frac{\theta}{360^\circ}\times 2\pi r $.

## Step3: Substitute the values
Here, $ \theta = 104^\circ $ and $ r = 45 $ inches. Plugging into the formula:
$$
\begin{align*}
\text{Arc Length of } ZV&=\frac{104^\circ}{360^\circ}\times 2\pi\times 45\
&=\frac{104}{360}\times 90\pi\
&=\frac{104\times 90}{360}\pi\
&=\frac{104}{4}\pi\
& = 26\pi
\end{align*}
$$

# Answer:
26

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QUESTION IMAGE

Question

Explanation:

Step1: Find the radius of the circle

Step2: Recall the arc length formula

Step3: Substitute the values

Answer: