Question on: JAMB Mathematics - 2001

The chord ST of a circle is equal to the radius, r, of the circle. Find the length of arc ST.

A
πr/6
B
πr/2
C
πr/12
D
πr/3
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Correct Option: D

Since ST = the radius r, => SOT is equilateral.

Each angle = 60°

Length of arc ST = θ/360 x 2πr

= 60/360 x 2 x π x r = πr/3

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