Question

Find the radius of a circle if the length of a 60 degrees arc is 18π. with solution please thanks.​

Answer 1

Answer:

Given

Arc=18pi

degree= 60°=pi/3

we know that,

angle = arc/radius$radius = 18\pi \div \pi \div 3$

Radius=54 ans

Answer 2

Answer: - The radius of the circle is 54 unit.

Detailed solution: -

Given: -

Central angle = 60°

Length of the arc = 18π

We need to find is the radius of the circle.

So,

Radian measure = $\pi /180*60$

$= 60\pi /180radian\\= \pi /3 radian$

Therefore,

60° = π/3

Now,

By the formula

$r = l/theta$

$r = 18\pi /\pi /3$

$r = 18\pi *3/\pi \\r = 18*3\\r = 54 unit$

Therefore,

The radius of the circle is 54 unit.

To know more about the topic, go to the given links: -

https://brainly.in/question/14110508

https://brainly.in/question/7574402

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