Correct Answer - Option 2 : 3 ∶ 4
Given:
Ratio of area of 2 circles = 9 ∶ 16
Formula used:
Area of circle = πr2
Circumference of circle = 2πr
Where,
r → Radius of circle
Calculation:
Let the radius of the circles be ‘R’ and ‘r’
∴ (Area of circle 1)/(Area of circle 2) = 9/16
⇒ πR2/ πr2 = 9/16
⇒ R2/r2 = 9/16
⇒ R/r = √(9/16)
⇒ R/r = 3/4
(Circumference of circle 1)/(Circumference of circle 2) = 2πR/2πr
(Circumference of circle 1) ∶ (Circumference of circle 2) = 3 ∶ 4
∴ Ratio of circumference of both the circles is 3 ∶ 4
