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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 .