Answer:
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
