Example 1 Find the arc length and area of a sector of a circle of radius 6 6 cm and the centre angle 2p 5 2 p 5. The arc length of a semicircle is half the circumference of the full circle. The length of an arc is found by forming a ratio of the arc to the whole circle then multiplying it by the formula for circumference either 2pr 2 p r or pd p d like this.
Arc Length Formula All this means is that by the power of radians and proportions the length of an arc is nothing more than the radius times the central angle.
Then multiply that number by the radius of the circle. Well of course it is but its nice that we came up with the right answer. So the arc length between 2 and 3 is 1. Then multiply that number by the radius of the circle.