The radius of a circle is 8 inches. Find the number of radians in the central angle of the circle which intercepts an arc of 3 inches

The number of radians in the central angle is 0.375

Step-by-step explanation:

* Lets study the radians rule of the circle

- If the measure of the central angle is Ф radians

- If the length of the arc subtended by Ф is L

∴ L = r Ф

* Lets look to the our problem

∵ The radius = 8 inches

∵ The measure of the central angle is Ф

∵ The length of the intercepted arc of Ф = 3 inches

* Use the rule L = r Ф ⇒ divide both sides by r

∴ Ф = L/r

∴ Ф = 3/8 = 0.375 radians

* The number of radians in the central angle is 0.375