Question

the circumference of a circle exceeds the diameter by 16.8cm. Find the circumference of the circle.​

Answer 1

Step-by-step explanation:

Let the radius of the circle be r cm. Then. Diameter = 2r cm and Circumference = 2πr cm

Answer 2

Answer:

The circumference of the circle will be $24.64cm$

Step-by-step explanation:

In context to the question asked,

We have to find the circumference of a circle,

As per data given in the question,

Let, the radius of the circle be ' r  '

Therefore,

Diameter ( d ) = $2r$

We know that,

The formula to be used for,

Circumference = $2\pi r$

It is given that, the circumference of a circle exceeds the diameter by $16.8cm$.

Therefore,

$=> C = d + 16.8$

$=> 2\pi r = 2r + 16.8$

Simplifying it further, we get

$=> 2r ( \pi - 1) = 16.8$

$=> 2r\times ( \frac{22}{7} - 1) = 16.8$

$=> 2r\times \frac{15}{7} = 16.8$

$=> r = \frac{16.8\times 7}{30}$

$=> r = \frac{117.6}{30}$

$=> r = 3.92cm$

Now, Circumference = $2\pi r$

By substituting the values,

$=> 2\times \frac{22}{7}\times 3.92$

$=> \frac{2464}{100}$

$=> 24.64cm$

Hence, the required circumference of a circle is $24.64$ cm