Question

circumference of a circle exceed the diameter by 105 cm find diameter and circumference of the circle​

Answer 1

Step-by-step explanation:

Hope you understood the answer.

Answer 2

The diameter of the circle​ = 49 cm and

The circumference of the circle​ =  154 cm

Step-by-step explanation:

Let the radius of a circle = r

To find, the diameter (d) and the circumference of the circle​ = ?

We know that,

The circumference of the circle​ = 2πr = πd

[ ∵ d = 2r]

According to question,

The circumference of a circle exceed the diameter by 105 cm.

∴ πd - d = 105

⇒ d(π - 1)  = 105

⇒ d($\dfrac{22}{7}$ - 1)  = 105

⇒ d = $\dfrac{105\times 7}{15}$

⇒ d = 7 × 7 = 49 cm

The diameter of the circle​ = 49 cm

The circumference of the circle​ = πd

= $\dfrac{22}{7} \times 49$ cm

= 22 × 7 cm

= 154 cm

∴ The diameter of the circle​ = 49 cm and

The circumference of the circle​ =  154 cm