Question

The sum of circumferences of four small circles of equal radius is equal +
circumference of a bigger circle. Find the ratio of the area of the bigger circle to tu
the smaller circle.
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Answer 1

Answer:

Let radius of smaller circles be 'r'

So, circumference of 1 small circle=2Πr

Circumference of 4 circles = 4×2Πr

=8Πr

Let radius of bigger circle be 'R'

So, circumference=2ΠR

A. to Q.

8Πr=2ΠR

8r=2R

4r=R. -(I)

Area of smaller circle = Πr^2

Area of bigger circle = ΠR^2

=Π(4r)^2

=Π×16r^2

=16Πr^2

Ratio = 16Πr^2/Πr^2

=16:1

Step-by-step explanation:

Answer 2

Answer:

circumference =3 area

2πr = 3π r^2

2r = 3r^2

2= 3r

3/2= r