Find base radius of a cone made from a quarter circle of radius 8cm
To find the base radius of a cone made from a quarter circle of radius 8cm, we need to first find the diameter of the original circle, and then divide by 2 to get the radius.
The formula to find the circumference of a circle is given by C = 2πr, where r is the radius.
Given that the quarter circle has a radius of 8cm, we can find the circumference of the original circle by multiplying the radius by 4 (since a quarter circle is 1/4 of the circumference of the full circle):
C_original = 4 * 2π(8) = 32π cm
To find the diameter of the original circle, we can use the formula for circumference:
C = πd
32π = πd
Solving for d, we find:
d = 32 cm
Finally, to find the radius of the original circle (which will be the base radius of the cone), we divide the diameter by 2:
r = d/2 = 32 cm / 2 = 16cm
Therefore, the base radius of the cone made from a quarter circle of radius 8cm is 16cm.