The arc made by a sector at center is 72 degrees . Given that the length of an arc is 44cm ,calculate the radius of the circle (Take pi as 3.14)

Given:

Central angle of a sector = 72 degrees

Intercepted arc length = 44 cm

To find:

The radius of the circle.

Solution:

We know that, the arc length is

Where, r is the radius of the circle, is the central angle in degrees.

Putting and , we get

Divide both sides by 1.256.

Therefore, the radius of the circle is about 35.03 cm.

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step-by-step explanation:

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