Question

. In this picture, the circles have the same centre
and the line drawn is a diameter of the large
circle. How much more is the perimeter of the
large circle than the perimeter of the small
circle?​

Answer 1

Diameter of larger circle = 1 cm

Hence, diameter of smaller circle =

cm

Let r = Radius of smaller circle =

If r = radius of circle

Circumference =

As seen from figure,

Radius of Larger circle = 2r

Perimeter of smaller circle = 2 × π × r …(eq)2

Perimeter of larger circle = 2 × π × (2r) = 4 × π × r …(eq)1

Perimeter of larger circle is = (eq)1 – (eq)2

More then smaller circle by

= (4 × π × r) – (2 × π × r)

= 2 × π × r