Question

What's the cirumference of another circle whose radius is 3/2 times longer

Answer 1

Step-by-step explanation:

Given:-

The radius of another circle is 3/2 times longer than the one circle.

To find:-

What's the cirumference of another circle whose radius is 3/2 times longer than the given circle

Solution:-

Let the radius of the given circle be 'r' units

Then the circumference of the circle

C1= 2πr units----(1)

Now,

Radius of another circle = 3/2 times longer than the radius of the given circle

=>r+(3/2)r

=>r+(3r/2)

=>(2r+3r)/2

=>5r/2 units

Radius of the another circle = 5r/2 units

Circumference of the another circle =

C2= 2π(5r/2)

=>C2=(2π×5r)/2

=>C2= 2πr(5/2)

=>C2= (5/2)(2πr)

=>C2 = (5/2)C1 (from (1))

Therefore, The Circumference is 5/2 times the one circle

Answer:-

The circumference of another circle is 5/2 time the circumference of the given circle.

Used formula:-

• Circumference of a circle = 2πr units
• Where r = Radius
• π=22/7