The Ratio Between the diameters of two circles Is 3:5 Find the ratio Between their circumstances .
Answers
Answer:
as we know the formula
circumference = 2πr
so we know the diameter ratio
ie we know 2r of both the circles
so π will get cancelled
and the final ratio will be
= 3:5
Step-by-step explanation:
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To Find :-
- The ratio between their circumference.
Solution :-
- The ratio between the diameter of two circles is 3 : 5. (Given)
We know that,
↪ Diameter = 2 × Radius
.°. Ratio of diameter = Ratio of radius
↪ Ratio of radius = 3 : 5
Now,
Let radius of first circle = 3r
And radius of the second circle = 5r
[ For first circle ]
↪ Circumference of first circle = 2πr
↪ Circumference of first circle = 2 × π × 3r
↪ Circumference of first circle = 6πr
[ For second circle ]
↪ Circumference of second circle = 2πr
↪ Circumference of second circle = 2 × π × 5r
↪ Circumference of second circle = 10πr
So, ratio between their circumference,
↪ 6πr : 10πr
↪ 6 : 10
↪ 3 : 5
Therefore,
The ratio between their circumference is 3 : 5.