Question

What is the length of radius to the nearest tenth of an inch?

Answer 1

Answer:

3.1 in

Step-by-step explanation:

In any circle the following ratios are equal

$\frac{arc}{circumference}$ = $\frac{angleatcentre}{2\pi }$

$\frac{4}{2r\pi }$ = $\frac{\frac{5\pi }{12} }{2\pi }$

$\frac{4}{2r\pi }$ = $\frac{5}{24}$ ( cross- multiply )

10πr = 96 ( divide both sides by 10π )

r = $\frac{96}{10\pi }$ = 3.1 in ( nearest tenth )

Answer 2

Answer:

radius = arc length / central angle in radians

radius = 4 inches / 5*PI / 12

radius = 4 / 1.308996939 radians

radius = 3.0557749074

radius = 3.0557749074 inches

Step-by-step explanation: