Question

in circle u, vt = 90 inches. what is the length of arc zv? (squarepi) inches

Explanation:

Step1: Find the radius

Since $VT = 90$ inches is the diameter, the radius $r=\frac{90}{2}=45$ inches.

Step2: Use arc - length formula

The formula for the length of an arc $s$ of a circle with radius $r$ and central - angle $\theta$ (in degrees) is $s=\frac{\theta}{360}\times2\pi r$. Here, $\theta = 104^{\circ}$ and $r = 45$ inches.
Substitute the values into the formula: $s=\frac{104}{360}\times2\pi\times45$.
First, simplify $\frac{104}{360}\times2\times45$:
$\frac{104}{360}\times90=\frac{104\times90}{360}=26$.
So the arc - length $s = 26\pi$ inches.

Answer:

$26$