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Question

Question 5 (i)
In a circle of radius 21 cm, an arc subtends an angle of 60 at the centre. Find:
(i) the length of the arc

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Solution

Radius of the circle = 21 cm
(i)ΔAOB is isosceles as two sides are equal.
A=B
Sum of all angles of triangle = 180
A+B+O=180
2A=18060
A=1202
A=60
Triangle is equilateral as A=B=O=60

Length of arc AB = 60360×2×227×21
The length of the arc is 22 cm.

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