Math, asked by adhyayan56, 8 months ago

The area of the circle is 15 times the area of another circle. Find the ratio of their circumferences.





I will mark brainlist


don't write irrelevant answers ​

Answers

Answered by sarita1942
38

Answer:

let the area of the smaller circle be x

according to question

area of bigger circle will be 15x

lets concentrate on smaller circle...

area of smaller circle is = πr^2

x = 22/7×r^2

x÷22/7=r^2

7x/22=r^2

therefore r = √7x/22

now we consider the bigger circle

area of bigger circle = πR^2

15x=22/7×R^2

15x÷22/7=R^2

105x/22=R^2

therefore R = √105x/22

now

circumference of smaller circle=2πr

=2×22/7×√7x/22

=44/7×√7x/22

now

circumference of bigger circle = 2πR

=2×22/7×√105x/22

=44/7×√105x/22

now the ratio of the smaller circle to the circumference of bigger circle

=44/7×√7x/22 : 44/7×√105x/22

now 44/7 and 22 and root and x get cancelled

therefore

7:105 .... remains ..

therefore the ratio of their circumference is 7:105

..

.

Step-by-step explanation:

Step-by-step explanation:

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Answered by Anonymous
4

Answer:

Answer:

let the area of the smaller circle be x

according to question

area of bigger circle will be 15x

lets concentrate on smaller circle...

area of smaller circle is = πr^2

x = 22/7×r^2

x÷22/7=r^2

7x/22=r^2

therefore r = √7x/22

now we consider the bigger circle

area of bigger circle = πR^2

15x=22/7×R^2

15x÷22/7=R^2

105x/22=R^2

therefore R = √105x/22

now

circumference of smaller circle=2πr

=2×22/7×√7x/22

=44/7×√7x/22

now

circumference of bigger circle = 2πR

=2×22/7×√105x/22

=44/7×√105x/22

now the ratio of the smaller circle to the circumference of bigger circle

=44/7×√7x/22 : 44/7×√105x/22

now 44/7 and 22 and root and x get cancelled

therefore

7:105 .... remains ..

therefore the ratio of their circumference is 7:105

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