# Radius of a Circle and Lengths of Arcs

1.If an arc 70mm long subtends an angle of pi over 4 radians at the centre what is the radius of the circle?

2.A chord of length 26mm is drawn in a circle of 35mm diameter. What are the lengths of the smaller and larger arcs into which the circumference is divided?

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#### Solution Preview

Please see the attached Word document for the solutions to these exercises.

1. If an arc 70mm long subtends an angle of pi over 4 radians at the centre what is the radius of the circle?

This problem is simple if you use the formula for finding the arc length given the angle and the radius. If an arc of length s on a circle of radius r subtends an angle , measured in radians, then:

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#### Solution Summary

The solution finds the radius of a circle and lengths of arcs. The circumferences divided are given.