Question

Can anyone include a diagram as part of the explanation here?

Answer 1

`143^@`

Explanation:

In a circle, the length of an arc is a portion of the circumference.
For example, an arc measure of `60^@` is `1/6` of the circle (`360^@`). So the length of that arc will be `1/6` of the circumference.

`=>` arc length `= 2*pi*r*((Theta)/360)`

Given arc length `AB=10 cm`, and radius `=4 cm`

`=> 10=2*pi*4*(Theta/360)`

`=> Theta=(10*360)/(2*pi*4)=143^@` (to the nearest degree)