Question

If the difference of circumference and diameter of a circle is 90cm, find the diameter

Answer 1

Answer:

42 cm

Step-by-step explanation:

Given -

The difference of circumference and diameter = 90 cm

.

To find -

The diameter of circle (d)

.

Solution -

We know that circumference of circle = πd

.

Circumference - diameter = 90 cm

=> πd - d = 90 cm

$= > (\pi d) - d = 90cm\\ \\ = > ( \frac{22}{7} \times d) - d = 90cm\\ \\ = > \frac{22d}{7} - d = 90cm\\ \\ = > \frac{22d - 7d}{7} = 90cm \\ \\ = > \frac{15d}{7} = 90cm \\ \\ = > 15d = 90 \times 7cm \\ \\ = > 15d = 630cm \\ \\ = > d = \frac{630}{15} cm \\ \\ = > d = 42cm$

Hence diameter = 42 cm

hope it helps.