Question

finding arc length
try it
in circle u below, vt = 90 inches.
what is the length of arc zv?
$\boldsymbol{square}$$pi$ inches

Explanation:

Step1: Find radius of circle

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

Step2: Recall arc length formula

Arc length = $\frac{\theta}{360^\circ} \times 2\pi r$, where $\theta = 104^\circ$

Step3: Substitute values into formula

$\text{Arc length } ZV = \frac{104^\circ}{360^\circ} \times 2\pi \times 45$
Simplify: $\frac{104}{360} \times 90\pi = 104 \times \frac{90}{360}\pi = 104 \times \frac{1}{4}\pi = 26\pi$

Answer:

26$\pi$ inches