Find the base radius of a cone made from a quarter circle of radius 8cm

1 answer

The circumference of the quarter circle is one-fourth the circumference of a full circle with radius 8cm, so:

C = 1/4(2πr)
C = 1/4(2π8)
C = π4

The circumference of the base of the cone is equal to the circumference of the quarter circle, so:

C = π4 = 2πr
r = π/8

Therefore, the base radius of the cone is π/8 cm.