An arc is a portion of the circumference of a circle. For instance, when you cut up a circular pizza through its centre severally, its circumference gets divided into arcs.

**Formula to calculate the length of an arc.**

Where; AB – is the arc length.

θ – is the angle subtended by radius MA and radius MB.

r – is the radius also labelled as MA and MB.

π – is a constant estimated to be 3.142.

**Example:**

Calculate the length of an arc with radius 10cm and the angle ssubtended by the radius is 50 degrees.

Therefore, the length of the arc is 8.728 cm.