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

Question

asked Jan 20, 2020 114k views

2 Answers

Karatheodory · Answer 1 · 2020-01-22T00:16:16+0000

Answer:

3.1 in

Explanation:

In any circle the following ratios are equal

(arc)/(circumference) =
$(angleatcentre)/(2\pi )$

$(4)/(2r\pi )$ =
$((5\pi )/(12) )/(2\pi )$

$(4)/(2r\pi )$ =
(5)/(24) ( cross- multiply )

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

r =
$(96)/(10\pi )$ = 3.1 in ( nearest tenth )

Jonathan Works · Answer 2 · 2020-01-25T17:12:02+0000

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

Explanation: