Question

A cone is found by bending a sector of angle 120 degrees and radius 6 cm. The radius of the base of the cone is?

Answer 1

@mathmath333

Answer 2

@ganeshie8

Answer 3

@Compassionate @Hero

Answer 4

The circumference of the base of the cone will be the arc length of the original sector

Answer 5

oh yea

Answer 6

wats the radians formula again? i forgot

Answer 7

arclength = radius * theta radians

s = r *theta

Answer 8

so change 120 degrees to radians

120 deg * ( pi rad / 180 deg)

Answer 9

120 deg = 2/3 Pi

Answer 10

s = 6 * (2/3 * Pi ) = 4 Pi

Answer 11

so
C = 4Pi
but
C = 2Pi * R

so can you solve for R

Answer 12

since "The circumference of the base of the cone will be the arc length of the original sector"
after you bend the sector to form a cone
arclength of original sector = circumference of cone