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Question

The radius of a circle is 30 cm. Find the length of an arc of this circle, if the length of the chord of the arc is 30 cm.

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Solution

We have,

OA = OB = radius of circle = 30 cm = 0.3 m

AB = chord AB = 30 cm = 0.3 m

Arc AB = ˆAB = 1 (say)

Now, ΔAOB is equilateral triangle as OA = OB = AB = 30 cm

AOB=60=π3 radian

θ=arcradius

π3=10.3

l=0.33π=0.1πm

l=arc AB=10 π cm


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