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Tems11 [23]
2 years ago
9

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

Mathematics
2 answers:
laila [671]2 years ago
4 0

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 )


mixas84 [53]2 years ago
3 0

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:


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