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Maurinko [17]
3 years ago
7

A circle has a radius r which is a positive integer. If the circumference of the circle divided by the area of the circle is a p

rime number, what is the sum of all possible values for the radius of the circle?
Mathematics
1 answer:
ryzh [129]3 years ago
6 0

The possible value for the radius of the circle is 1 unit

<h3 /><h3>Area and Circumference of a circle </h3>

The formula for calculating the area of a circle is expressed as:

  • A = πr²

The formula for calculating the circumference is expressed as:

  • C = 2πr

where r is the radius of the given circle.

If the circumference of the circle divided by the area of the circle is a prime number, then;

\frac{2 \pi r}{\pi r^2}  = p\\\frac{2}{r} = prime

For the value to the prime and r to be an integer, the possible value for the radius of the circle is 1 unit

Learn more on circles here: brainly.com/question/402655

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Step-by-step explanation:

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Answer:

No

Step-by-step explanation:

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The set of all rational numbers is referred to as the "rationals," and forms a field that is denoted Q. Here, the symbol  Q derives from the German word Quotient, which can be translated as "ratio," and first appeared in Bourbaki's Algèbre (reprinted as Bourbaki 1998, p. 671).

Any rational number is trivially also an algebraic number.

Examples of rational numbers include -7, 0, 1, 1/2, 22/7, 12345/67, and so on. Farey sequences provide a way of systematically enumerating all rational numbers.

The set of rational numbers is denoted Rationals in the Wolfram Language, and a number  x can be tested to see if it is rational using the command Element[x, Rationals].

The elementary algebraic operations for combining rational numbers are exactly the same as for combining fractions.

It is always possible to find another rational number between any two members of the set of rationals. Therefore, rather counterintuitively, the rational numbers are a continuous set, but at the same time countable.

8 0
4 years ago
Which is an equation of a direct proportion
Over [174]
K = y/x OR y = kx

hope it helps!
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Step-by-step explanation:

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Range: (-9,∞ )

Step-by-step explanation:

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