The ratio of the radii of two circles is 4:5. What is the ratio of the circumferences of the two circles? A. 16:25 B. pi:5 C. 4pi:5 D. 4:5
Answer:
Step-by-step explanation:
Aright, lets get started.
Suppose the radius of both circles are r1 and r2.
So, the circumference of both circles will be :
circumference of first circle = \(2\pi r_{1}\)
circumference of second circle = \(2\pi r_{2}\)
ratio of both circumference = \(\frac{2\pi r_{1} }{2\pi r_{2} }\)
ratio of both circumference = \(\frac{r_{1} }{r_{2} }\)
The ratio of both radius re given as 4:5, so plugging the value r1/r2
So, ratio of both circumference = \(\frac{4}{5}\) .... : Answer
Hope it will help :)
The ratio of the circumferences of the two circles is 4 / 5
C = 2πr
Where
Circle 1
C₁ = 2πr₁
C₁ = 8π
Circle 2
C₂ = 2πr₂
C₂ = 2 × π × 5
C₂ = 10π
Ratio = C₁ / C₂
Ratio = 8π / 10π
Ratio = 4 / 5
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