Is the area of a circle a function of its circumference?

Answer: The function that models the area A of a circle in terms of its circumference C is A = Cr / 2, where r is the radius of the circle.

How do you find the area of a circle with the circumference?

How to find the area of a circle from the circumference?

1. Divide the circumference by π.
2. Divide the result by 2 to get the circle’s radius.
3. Multiply the radius by itself to get its square.
4. Multiply the square by π, or 3.14 for an estimation.
5. You found the circle’s area from the circumference.

How do you write the area of a circle as a function of its radius?

The area of a circle as a function of its radius. The textbook answer is A(r) = πr^2.

How do you write area of a circle?

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

What is the area of circumference?

The area of a circle is given by the formula A = π r2, where A is the area and r is the radius. The circumference of a circle is C = 2 π r. If we “solve for r” in the second equation, we have r = C / (2 π ). Now we use this to replace r in the first equation: A = π [ C / (2 π ) ]2.

How is the formula for the circumference of a circle derived?

The circumference of a circle is proportional to its diameter, d, and its radius, r, and relates to the famous mathematical constant, pi (π). Derivation of the Circumference Formula: As we have seen, the formula for the circumference of a circle is related to the value of π, and is expressed as C = π • d = 2π • r.

Why is circumference 2 pi r?

It sounds like you are aware of this, but just to clarify: the formulae 2πr and πd for the circumference of the circle are equivalent because the diameter is twice the radius.

What is the formula for finding the area of a circle?

The formula for the area of a circle is pi multiplied by the radius of the circle squared. The radius of the circle is the length of a straight line stretching from the center of the circle to the line of circumference. It is equal to half the diameter.

How to figure the area of circle?

Identify the radius of a circle. The radius is the length from the center of a circle to the edge of the circle.

Square the radius. This variable is squared. Do not get confused and square the entire equation.

Multiply by pi. The true decimal value continues on infinitely.

Report your result. Remember that a calculation of area is going to be reported in “square” units.

How to find the circumference and area of a circle?

Determine the radius of a circle.

Substitute this value to the formula for circumference: C = 2*π*R = 2*π*14 = 87.9646 cm.

You can also use it to find the area of a circle: A = π*R² = π*14² = 615.752 cm².

Finally,you can find the diameter – it is simply double the radius: D = 2*R = 2*14 = 28 cm.

What is the unit of area of a circle?

The area of a circle is the number of square units inside that circle. If each square in the circle to the left has an area of 1 cm2, you could count the total number of squares to get the area of this circle.