The circumference of two circle are in the ratio 2 : 3. Find the ratio of their areas.
Given -
Ratio of their circumference = 2:3
To find -
Ratio of their areas.
Formula used -
Circumference of circle
Area of circle.
Solution -
In the question, we are provided, with the ratios of the circumference of 2 circles, and we need to find the ratio of area of those circle, for that first we will use the formula of circumference of a circle, then we will use the formula of area of circles. We will be writing 1 equation in it too.
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Answers & Comments
Answer:
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Correct Question -
The circumference of two circle are in the ratio 2 : 3. Find the ratio of their areas.
Given -
Ratio of their circumference = 2:3
To find -
Ratio of their areas.
Formula used -
Circumference of circle
Area of circle.
Solution -
In the question, we are provided, with the ratios of the circumference of 2 circles, and we need to find the ratio of area of those circle, for that first we will use the formula of circumference of a circle, then we will use the formula of area of circles. We will be writing 1 equation in it too.
So -
Let the circumference of 2 circles be c1 and c2
According to question -
c1 : c2
Circumference of circle = 2πr
where -
π =![\tt\dfrac{22}{7} \tt\dfrac{22}{7}](https://tex.z-dn.net/?f=%5Ctt%5Cdfrac%7B22%7D%7B7%7D)
r = radius
On substituting the values -
c1 : c2 = 2 : 3
2πr1 : 2πr2 = 2 : 3
Now -
Let the areas of both the circles be A1 and A2
Area of circle = πr²
So -
Area of both circles = πr1² : πr2²
On substituting the values -
A1 : A2 = πr1² : πr2²
So -
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