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How to Calculate Length of an Arc.
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How to Calculate Length of an Arc.

Rosemary Njeri

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.

 Calculate 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.

 Calculate Length of an Arc.

Therefore, the length of the arc is 8.728 cm.

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