Question

The ratio of the circumference of two circle is 2:5 find the ratio of their areas

Answer 1

ratio of circumference=2:3
ratio of radius=circumference/circumference -2πr/2Tπr
2/3=2πr/2πr
/r=2/3=2:3
ratio of area=πr square/πr square
=4/9
=4:9

Answer 2

Answer:

The ratio of areas are $4:25$.

Step-by-step explanation:

It is given that the circumference of two circles are $2:5$.

Circumference is defined as the external boundary or surface of a circle.

It is mathematically equally to C=2πr

If $r_{1}$ be radius of one of the circle and $r_{2}$ be radius of other circle, then ratio of their circumference is $\frac{r_{1} }{r_{2} } =\frac{2}{5}$.

Area is the quantity that expressing the extent of a region on the plane or on a curved surface.

Mathematically

$A=$π$r^{2}$

Ratio will be

$(\frac{r_{1} }{r_{2} } )^{2} =(\frac{2}{5} )^{2}$

$=4/25$

The ratio of areas is $4:25$

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