Share

# The Circumference of Two Circles Are in Ratio 2:3. Find the Ratio of Their Areas - CBSE Class 10 - Mathematics

ConceptPerimeter and Area of a Circle

#### Question

The circumference of two circles are in ratio 2:3. Find the ratio of their areas

#### Solution

Let radius of two circles be 𝑟1 and 𝑟2 then their circumferences will be 2𝜋𝑟1 : 2𝜋𝑟2
= 𝑟1: 𝑟2

But circumference ratio is given as 2 : 3

𝑟1: 𝑟2 = 2: 3

Ratio of areas = 𝜋𝑟22: 𝜋𝑟22

= (r_1/r_2)^2

=(12/3)^2

= 4/9

= 4:9

∴ 𝑟𝑎𝑡𝑖𝑜 𝑜𝑓 𝑎𝑟𝑒𝑎𝑠 = 4 ∶ 9

Is there an error in this question or solution?

#### Video TutorialsVIEW ALL [2]

Solution The Circumference of Two Circles Are in Ratio 2:3. Find the Ratio of Their Areas Concept: Perimeter and Area of a Circle.
S