Question

A sector of a circle of radius 14cm containing an angle 60° is folded to form a cone. Calculate the radius of the base of the cone.

A) 7 cm
B) 14 cm
C) 21 cm
D) 28 cm

Answer 1

To calculate the radius of the base of the cone, use the formula: radius of the sector = radius of the base of the cone + the slant height of the cone. Since the angle of the sector is 60°, the slant height can be calculated using the formula: slant height = radius of the sector x √3.

Step-by-step explanation:

The radius of the sector of the circle is given as 14 cm and the angle is 60°. To calculate the radius of the base of the cone, we can use the formula:

radius of the sector (cm) = radius of the base of the cone (cm) + the slant height of the cone (cm)

Since the angle of the sector is 60°, the slant height of the cone can be calculated using the formula:

slant height (cm) = radius of the sector (cm) x √3

Substituting the given values, we can find the value of the radius of the base of the cone.