Question

the radii of two circles are in the ratio 5:3 then the ratio of their areas ans = 25:9
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Answer 1

Correct Question:-

The radii of two circles are in the ratio 5:3, then what will be the ratio of their areas?

Required Solution:-

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» Here, the question had given the ratio of the radii of two circles that is 5:3 and we have to find its area, so we will take 5x as the radius of the 1st circle and 3x as the radius of the 2nd circle. Then by applying the formula of area of the circle we will get the answer.

ANSWER:-

• Ratio of Area of both the circles is 25 : 9.

GIVEN:-

• Ratio of both the circles are = 5:3
• Radius of 1st circle = 5x
• Radius of 2nd circle = 3x

TO FIND:-

• Ratio of the areas of both the circles = ?

FORMULA:-

• Area of the circle = πr²

SOLVING BY APPLYING THE FORMULA:-

• Radius 1= r₁ = 5x
• Radius 2 = r₂ = 3x
• Area of the circle = πr²
• To find the ratio of area of both the circles = πr1² : πr2²
• The ratio of area of both the circles = ${ \not{\pi}} r_1^{2} : {\not{\pi}} r_2^{2}$
• The ratio of area of both the circles = r₁² : r₂²
• The ratio of area of both the circles = r₁² : r₂² = (5x)² : (3x)²
• The ratio of area of both the circles = 25x² : 9x²
• The ratio of area of both the circles = 25 : 9

Hence, by applying the formula we got the ratio of area of both the circles that is 25 : 9.

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