Question

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

Answer 1

Answer:

Third option.

Step-by-step 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":

$C=\frac{arc\ length}{r}$

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

$C=\frac{8.0cm}{6.0cm}$

$C=\frac{4}{3}radians$