Question

The radii of two circles are in the ratio 2:3. what is the ratio of their circumference

pls help :'(​

Answer 1

Answer:

• Ratio of their circumference is 2:3

Step-by-step explanation:

According to the Question

It is given that ,

• Radii of two circles are in the ratio 2:3.

we have to find the ratio of their circumference .

Let the radius be 2x & 3x respectively .

Calculating the Ratio of their circumference .

• Circumference = 2πr

Circumference of 1st circle

On substituting the value we get

↠ C1 = 2×π×2x

↠ C1 = 4πx

And, Another Circumference

↠ C2 = 2×π×3x

↠ C2 = 6πx

Now, calculating the Ratio

• Ratio of their Circumference= C1/C2

On substituting the value we get

↠ C1/C2 = 4πx/6πx

↠ C1/C2 = 2/3

↠ C1 : C2 = 2:3

• Hence, the ratio of their circumference is 2:3 .

Answer 2

Answer:-

• 2:3 is the required ratio of their circumstances.

Given:-

• Ratio of radii of two circles = 2:3

To find:-

• Ratio of circumferences.

Solution:-

• Let the ratio of radii be x.
• Then the radii of first circle is 2x.
• The radii of second circle is 3x.

• We know that the circumference of the circle is 2πr.

Calculating the circumference of 1st circle.

• =>2πr
• =>2π2x
• =>4xπ

Calculating the circumference of the 2nd circle.

• =>2πr
• =>2π3x
• =>6xπ

Now we have to simplify the two circumference.

• »» 4xπ/6xπ
• »» 2/3
• »» 2:3

Therefore,the ratio of their circumference is 2:3.