Question

A circle of radius of 4 inches has an arc length of 5.8 inches. Find the measure of the central angle.

Answer 1

SOLUTION :

The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is $2\pi r$ . Similarly when angle is theta ,

$\implies Arc = radius \times \theta$

Now substitute respective values , from the given data ,

$\implies 5.8 inch = 4inch * \theta \\\\\implies 0.14 m = 0.1 * \theta \\\\\implies \boxed{\red{\theta \approx 1.4 \ rad }}$

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