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# The Areas of Two Circles Are in the Ratio 9 : 4. the Ratio of Their Circumferences is - Mathematics

MCQ

The areas of two circles are in the ratio 9 : 4. The ratio of their circumferences is

#### Options

• 3 : 2

• 4 : 9

• 2 : 3

• 81 : 16

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#### Solution

Let the the radii of the two circles be r and R, the circumferences of the circles be c and C and the areas of the two circles be a and A.

Now,

"a"/"A" = 9/4

=>(pi"r"^2)/(pi"R"^2) = (3/2)^2

=>"r"/"R" = 3/2

Now, the ratio between their circumferences is given by

c/C = (2pi"r")/(2pi"R")

="r"/"R"

=3/2

Hence, the correct answer is option (a)

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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 18 Area of Circle, Sector and Segment
Multiple Choice Questions | Q 17 | Page 848
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