Question

The diameter of a circle is increasing at the rate of 0.4cm/sec, then the rate of

increase of its circumference is…………/​

Answer 1

Answer:

the diameter of circumference is 58 please mark me as brain list

Answer 2

Given:

• The diameter of a circle is increasing at the rate of 0.4 cm/s.

To find:

• The rate of increase of its circumference.

Solution:

Let the radius of a circle be r and C be the circumference of a circle.

♦ C = 2πr

Where,

C is the circumference of a circle.

r is the radius of a circle.

Given that,

• dr/dt = r
• dr/dt = 0.4 cm/s

We can also wriw C as dC/dt

Putting the values,

• dC/dt = 2 × π × 0.4
• dC/dt = 0.8 π cm/s

If we take the value of π as 3.14

• dC/dt = 2.512 cm/s

Rate of increase of its circumference = 2.512 cm/s

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