Question

question 1-7 the arc length (la) of a sector of a circle with angle measure x (in degrees) and radius r, is given by the equation la = x/360 • 2πr. solve the equation for the radius of the sector, r. r = 360 • la/2πx r = 2πx • la/360 r = 360 • la/2π r = la - x/360 • 2π

Explanation:

Step1: Start with the arc - length formula

Given $L_a=\frac{x}{360}\cdot2\pi r$.

Step2: Solve for $r$

First, multiply both sides of the equation by $\frac{360}{x\cdot2\pi}$ to isolate $r$.
$r = \frac{360\cdot L_a}{x\cdot2\pi}$.

Answer:

$r=\frac{360\cdot L_a}{x\cdot2\pi}$