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Q.

State true or false:

Ratio of circumference of a circle to its radius is always 2π:1.

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a

True

b

False

answer is A.

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Detailed Solution

Here, we have to find whether the ratio of circumference of a circle to its radius is always 2π:1 or not.
We know that the circumference of a circle is the length of its outer boundary.
For a radius ‘r’, the circumference of a circle is given as

2 π r .

Now, as per the given statement, taking the ratio of the circumference of the circle to its radius, we get,

2 π r r = 2 π 1

So, the ratio of the circumference of a circle to its radius is obtained as 2π:1, which satisfies the given statement.
Hence, the statement is true.
Hence, the correct option is (1).

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