Question

two circles of the same centre the radius of the larger circle is 55 unit longer than the radius of the smaller circle find the difference in the circumference of the two circles?​

Answer 1

let the radius of smaller circle be r

then the radius of larger circle is r + 55

the circumference of smaller circle = 2pi*r

the circumference of larger circle =2pi*(r+55)

the difference = 2pi*(r+55)-2pi*r

= 2pi( r +55-r)

=110pi

Answer 2

Solution:

Let the radius of smaller circle be r and radius of larger be (r+55)

We know that,

Circumference of circle = 2πr

According to question:-

The circumference of Smaller circle = 2πr

And,The circumference of larger circle = 2π(r+55)

= 2πr+110π

Now,

difference in the circumference of the two circles= (larger circle - smaller circle)

= 2πr - 2πr + 110π

= 110π

Knowledge Enhancer

• Arc: The length of circumference joining the two chords of a circle is called arc.

• Chord: A line segment joining any two points on a circle is called chord.

• Diameter: A chord passing through the center of a circle is called Diameter.