Can a circumference be a rational number?

In fact you can’t even have the circumference and diameter both rational since the quotient of two rationals is again a rational. The ratio diameter/radius = 2/1 in a circle means that if you line up two copies of the radius, you get the same lenght as the diameter.

Can the area of a circle be a rational number?

No, In fact only circle with a rational radius that has also rational area and or circumference is the circle with a radius of , the point. Since is irrational (and further more transcendental number ), all circles with none-zero rational radii have irrational circumferences and areas.

Can the diameter of a circle and the circumference of the same circle both be rational numbers?

If you are asking if a circle can have both a rational diameter and a rational circumference, then no they cannot both be rational in the same units.

Is irrational or rational?

Answer: If a number can be written or can be converted to p/q form, where p and q are integers and q is a non-zero number, then it is said to be rational and if it cannot be written in this form, then it is irrational.

Can area irrational number?

But the area is an irrational number times the length of a side squared. But by the original assumptions, two vertices have rational coordinates, so the side length squared is also rational. A rational times an irrational is irrational; therefore in this case, the area is irrational.

Is the diagonal of a square irrational?

‘The diagonal of a square is irrational’ This statement is sometimes true. If the sides of the square are 2 units long, then the diagonal is 22 +22 = 4+ 4 = 8 which is irrational.

How can the circumference of a circle be irrational?

The circumference of a circle is pi (an irrational number) x the diameter. So if the diameter of a circle is rational then the circumference is irrational.