# How is the area of a circle related to its radius?

## How is the area of a circle related to its radius?

The area of a circle is pi times the radius squared (A = π r²).

What does the area of a circle depend on?

Like the circumference of a circle, its area is dependent only on the radius. The area of a circle is equal to the product of pi and the radius squared (Πr2).

### What is the relationship between the radius and the circle?

What is the relation between diameter and radius? Solution: Diameter of a circle is twice of its radius.

Is the radius and area of a circle proportional?

That is, the circumference of a circle is proportional to its radius, R; double R and you double C. The factor ‘2 pi’ is simply the constant of proportionality between C and R. So the area of a circle is proportional to R2 and pi is the constant of proportionality between the area and the radius of a circle.

#### Is area of a circle a one to one function?

So the area of a circle is a one-to-one function of the circle’s radius.

Why is the radius squared when finding area of a circle?

Essentially, you need to square some linear measure of the circle to get to an area. The radius and the circumference are in any case related by a constant – 2π – and it happens that squaring the radius gives the simplest constant to obtain the area.

## Is diameter and area the same?

The diameter of a circle is the length of the line segment that goes from one side of the circle to the other and passes through the center of the circle. So a diameter is the same as two opposing radii. The formula for the area of a circle is A = π r2, where r is the length of the radius of a circle.

What is the relationship between a radius and a diameter in any circle?

The radius is one-half the diameter or the diameter is twice the length of the radius.

### Is the area of a circle directly proportional to its radius R?

Area(A) of a circle is directly proportional to the square of its radius(r) the given statement can be written using symbol of variation.

Why are radius and area not proportional?

The circumference of a circle is proportional to the diameter , and we can write this relationship as . The area of a circle with radius is approximately . Unlike the circumference, the area is not proportional to the radius because cannot be written in the form for a number .