Asked by sara
The lateral surface of cone A is unwrapped into a sector of central angle 6 radians and radius π. What is the radius of cone A?
Answers
Answered by
Reiny
The arclength of the sector becomes the circumference of the base of the cone
let the radius of the cone's base be R
arclength = 6π , (because arc = rØ)
base circumference = 2πR
2πR = 6π
R = 3
let the radius of the cone's base be R
arclength = 6π , (because arc = rØ)
base circumference = 2πR
2πR = 6π
R = 3
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