Question

the ratio of the radii of two circles is 5.6 find the ratio of their circumferences also find the ratio of their areas.​

Answer 1

ANSWER:

Given:

• Ratio of radii of 2 circles = 5 : 6

To Find:

• Ratio of their circumferences
• Ratio of their areas

Solution:

Let the radii of the 2 circles be R1 and R2.

Similarly, circumferences and areas of the 2 circles be C1, C2, A1 and A2 respectively.

We are given that,

⇒ Ratio of radii = 5:6

That means,

⇒ R1 : R2 = 5 : 6

⇒ R1/R2 = 5/6

We know that,

⇒ Circumference of circle = 2πr, and

⇒ Area of circle = πr²

So,

⇒ Ratio of circumferences of the 2 circles:

⇒ 2πR1 / 2πR2

⇒ R1 / R2

⇒ 5/6

⇒ Ratio of circumferences of the 2 circles = 5 : 6

Now,

⇒ Ratio of areas of the 2 circles:

⇒ π(R1)^2 / π(R2)^2

⇒ (R1)^2 / (R2)^2

⇒ (R1 / R2)^2

⇒ (5/6)^2

⇒ 25/36

⇒ Ratio of areas of the 2 circles = 25 : 36

Answer 2

Answer:

25 : 36

Step-by-step explanation:

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