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True or false, and explanation please?. If the radius of a circle is irrational, the area must be irrational.

2 Answers

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Answer with Step-by-step explanation:

We are given a statement:

If the radius of a circle is irrational, the area must be irrational.

We have to determine whether it is correct or incorrect

We know that Area of circle= πr²

As π is an irrational number

So, even if r is rational or irrational the area will be irrational

Hence, The statement that "If the radius of a circle is irrational, the area must be irrational" is TRUE

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It is a true fact that the radius of a circle is irrational, the area must be irrational. This is because the pi that is present in the formula for finding the radius is irrational and so it has to be irrational. The correct option among the two options that are given in the question is the first option. I hope it helps you.
User Matt Campbell
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