Question

Find out the circumference of a sector whose radius is 7 cm and it makes the angle of 45° at the centre. 

A 19.5cm Correct Answer Incorrect Answer
B 17.5cm Correct Answer Incorrect Answer
C 14cm Correct Answer Incorrect Answer
D 15cm Correct Answer Incorrect Answer

Solution

Radius = AO = BO = 7 cm Length of arc AB = Circumference of circle x angle of sector/360 = 2 πr x 45/360 = 2 x 22/7 x 7 x 45/360   = 5.5 cm Circumference of sector= arc AB + 2 x (radius) = 5.5 + 7 + 7 = 19.5cm

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