Question

Determine the angle at the centre of a circle with radius 6.0 cm for an arc length of 8.0 cm.

3/4 radians

2/3 radians

4/3 radians

4π/3 radians

Answer 1

Third option.

Explanation:

You need to remember that the formula used to calculate the arc lenght is:

`arc\ length=r C`

Where "r" is the radius and "C" is the central angle in radians.

You need to solve for "C":

`C=(arc\ length)/(r)`

You know the radius and the arc lenght, therefore, you can substitute values to calculate the central angle in radians. Therefore, this is:

`C=(8.0cm)/(6.0cm)`

`C=(4)/(3)radians`