1.

If the ratio of circumferences of two circles is 11:14, what is the ratio of their areas?Please koi es ka answer de do​

Answer»

ANSWER:

Ratio of Areas = 121/196

Step-by-step explanation:

Let the radius of the circles be R and r.

Now, we are given,

Circumference(1) : Circumference(2) = 11 : 14

Now, we know that,

C = 2πr

Then,

C1 = 2πR

C2 = 2πr

So, according to the Question,

2πR/2πr = 11/14

Cancelling common factors,

R/r = 11/14 ----- 1

Now,

AREA of Circle = πr²

A1 = πR²

A2 = πr²

Then, their ratio will be,

A1/A2 = πR²/πr²

Cancelling the common factors,

= R²/r²

= (R/r)²

From eq.1, we get,

= (11/14)²

= (11²/14²)

= 121/196

Hence,

Ratio of Areas = 121/196

Hope it helped and BELIEVING you understood it....All the best



Discussion

No Comment Found

Related InterviewSolutions