Q1 of 35 Page 200

What are the radius of the base and slant height of a cone made by rolling up a sector of central angle 60° cut out from a circle of radius 10 centimetres?

Given that radius of the circle is 10 cm.

This will be same as the radius of the sector, rs = 10


This rs will be the slant height l of the cone.


Slant height l = 10 cm


Central angle θ = 60°


the length of arc will be


Thus, the length of arc will be .


But this is same as the circumference of the base of the cone


So if rb is the radius of the base of the cone




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