What is the central angle of the sector needed to make a cone of base-radius 10 centimetres and slant height 25 centimetres?

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Solution

Base radius of the cone, i.e., radius of the smaller circle = 10 cm

Slant height of the cone = Radius of the larger circle = 25 cm

Let the base radius of the small circle be of the radius of the larger circle.

Central angle =

_{Thus, the central angle of the sector needed to make the cone is 144°.}

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What is the central angle of the sector needed to make a cone of base-radius 10 centimetres and slant height 25 centimetres?

Base radius of the cone, i.e., radius of the smaller circle = 10 cm Slant height of the cone = Radius of the larger circle = 25 cm Let the base radius of the small circle be of the radius of the larger circle. Central angle = Thus, the central angle of the sector needed to make the cone is 144°.