Question

A circle of radius 3 make a complete roll on a line segment AB then AB is

Answer 1

A circle of radius 3cm makes a complete roll on a line segment AB then AB is {complete question]

Given:

A circle with the radius 2 cm

To find:

The length of the line segment AB

Solution:

If a circle covers a distance that touches the boundary of the circle that means the circumference of the circle is to be taken when you find the distance covered by the circle.

It is given in the question that the circle covers the line segment AB means that the circumference of the circle will be the length of the line segment AB

Radius of the circle is 3 cm

Circumference of the circle is given by:

• C = 2πr
• C = 2×3.14×3
• C = 18.84 cm

So the length of the line segment is 18.84 cm