Find the base radius of a cone made from a quarter circle of radius 8cm
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.
To find the base radius of a cone made from a quarter circle, we need to understand the relationship between a cone and a quarter circle.
In a cone, the base of the cone is a circle. And if a quarter circle is used to form the cone, then the radius of the quarter circle will be equal to the base radius of the cone.
Given that the radius of the quarter circle is 8 cm, we can conclude that the base radius of the cone is also 8 cm.