A sector of circle of radius 7.2cm which subtends an angle of 300o at the centre is used to form a cone. What is the radius of the base of the cone?

A sector of circle of radius 7.2cm which subtends an angle of 300o at the centre is used to form a cone. What is the radius of the base of the cone?
A. 8cm
B. 9cm
C. 6cm
D. 7cm

Correct Option: Answer is C
Solution:

l=7.2cm
r=? ; θ=300
Base circumference =length of an arc
2πr = θ/360 x 2πl
r = θ/360 x l
r= 300/360 x 7.2 =6cm

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