Question

the ratio of radii of two circles is 3 ratio 5 find the ratio of their areas​

Answer 1

Answer:

9:25

Step-by-step explanation:

area of circle = pi*r^2

so, ans is 9:25

Answer 2

Given:

• Ratio of radius of Circle = 3:5

To find:

• Ratio of area of Circle

Solution:

In the given question, we are given that ratio of radius of two Circle are 3:5.

Let suppose that, constant of ratio is x

So,

• Radius of first circle = 3x
• Radius of second circle = 5x

We know:

• Area of Circle = πr² [ r is the radius of Circle ]

Finding area of first circle :-

In first circle, we are given radius is 3x

So,

Area of Circle = πr²

→ Area of circle = π(3x)²

→ Area of Circle = π9x²

Finding area of second circle :-

In second circle, we are given radius is 5x.

So,

Area of Circle = πr²

→ Area of circle = π(5x)²

→ Area of circle = π25x²

______________

What we get :-

• Area of first circle = π9x²
• Area of second circle = π25x²

In area of both circle, 'π' and 'x²' is common so, cancel π and x² from the area of both Circle.

Now,

• Area of first circle = 9
• Area of second circle = 25

______________

Therefore,

$\huge{\boxed{\green{\tt{\large{Ratio\: of\: area\: of\: circles\: are\: 9:25}}}}}$