## What is the area A of a circle as a function of its circumference C?

Table of Contents

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.

**What is the circumference of a circle C formula?**

C = 2 π r

Explanation: The circumference of a circle is given by multiplying 2π with its radius. So, the formula to find the circumference of a circle C is C = 2 π r, where r is the radius.

### How do you write the area of a circle in terms 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 do you find the area and circumference of a circle in C?**

C Program

- #include
- int main() {
- float radius, area;
- printf(“\nEnter the radius of Circle : “);
- scanf(“%d”, &radius);
- area = 3.14 * radius * radius;
- printf(“\nArea of Circle : %f”, area);
- return (0);

#### Which is the correct functional notation of the circumference C of a circle is dependent on its radius R?

Question: C= 6.3r gives the approximate circumference C of a circle as a function of its radius r.

**How do you convert circumference to area?**

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

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

## How do you find circumference from area?

The formula C = 2√πA is designed to find a circle’s circumference using the area (A). Alternatively, you can solve the equation A = πR2 in reverse to find R, then plug R into the circumference equation. Both equations provide the same result.

**What is the area of the circle in terms of?**

The area of circle can be calculated by using the formulas: Area = π x r2, in terms of radius ‘r’. Area = (π/4) x d2, in terms of diameter, ‘d’.

### How do you find out the circumference of a circle?

To calculate the circumference, you need the radius of the circle:

- Multiply the radius by 2 to get the diameter.
- Multiply the result by π, or 3.14 for an estimation.
- That’s it; you found the circumference of the circle.

**How do you calculate simple interest in C?**

C

- #include
- int main()
- {
- float P , R , T , SI ;
- P =34000; R =30; T = 5;
- SI = (P*R*T)/100;
- printf(“\n\n Simple Interest is : %f”, SI);
- return (0);

#### What is the circumference of a circle if you only know area?

The formula for calculating the circumference (C) of a circle, C = πD or C = 2πR, is simple if you know the circle’s diameter (D) or radius (R). But what do you do if you only know the circle’s area? Like many things in math, there are multiple solutions to this problem.

**What is the formula to find the area of a circle?**

Area of a Circle when circumference is given Formula. area = ( (Circumference of Circle)^2)/ (4*pi) A = ( (C)^2)/ (4*pi)

## What is the area of a circle with a circumference of 25?

. The product will give you the area of the circle, in square units. So, the area of a circle with a circumference of 25 centimeter (9.8 in) is about 49.764 square centimeters.

**What is the area of a circle with diameter of 4?**

The area is πr². If the area is 4π, that means the radius (r) is 2. So the diameter is 4, and the circumference (πd) is 4π. (This is the one case where the area of a circle and its circumference are equal to each other, though the units of measurement are different.)