# Write a formula to determine the circumference of a circle in terms of its area

The circumference of any circle is directly proportional to the diameter and the radius of the circle. So that's straightforward, area 36pi, we leverage pi r squared to figure out that the radius was 6, and then from that we were able to figure out that the circumference was 12pi.

Calculating Circumference As noted above, the circumference of a circle is the length of the line around the edge of the circle. For example, a circle with a diameter of 8 has a radius of 4. It is also true that a circle's circumference has a specific relationship with its radius, and this means that there is a simple formula for calculating the radius of a circle if you know its circumference.

### How to find circumference

Now, if we just solve this as a pure math equation, you might say, OK, we could take the positive and negative square root of Area of a circle Circumference Video transcript If we know some circle has an area of 36pi-- so it has an area of 36pi-- can we figure out what the circumference of this circle is? Remember that pi is approximately equal to 3. Now, if we want to solve for the radius the first thing that we might want to do is divide both sides by pi. Take a circle with a radius of 4 inches. For example, a circle with a diameter of 8 has a radius of 4. A few of these points are illustrated below. Calculating Circumference As noted above, the circumference of a circle is the length of the line around the edge of the circle. Updated April 25, By Jon Zamboni Students beginning geometry can expect to encounter problem sets that involve calculating the area and circumference of a circle. From there, we can use this to figure out the circumference. A circle's diameter is equal to the distance across the center of the circle, and is equal to the radius times 2.

A radius can be drawn in any direction from the central point. A circle's radius is the distance from the center of the circle to any point on the edge of the circle. Updated April 25, By Jon Zamboni Students beginning geometry can expect to encounter problem sets that involve calculating the area and circumference of a circle.

Multiplying the radius by 6. Then, Interested in learning more? A circle's radius is exactly half the length of the same circle's diameter, which is a line that divides the circle into two equal halves.

### Circumference calculator

The Circumference of a Circle As with triangles and rectangles, we can attempt to derive formulas for the area and "perimeter" of a circle. Unlike triangles, rectangles, and other such figures, the distance around the outside of the circle is called the circumference rather than the perimeter-the concept, however, is essentially the same. What is its circumference? Solution: Let's start by drawing a diagram of the situation. It is also true that a circle's circumference has a specific relationship with its radius, and this means that there is a simple formula for calculating the radius of a circle if you know its circumference. Multiplying the radius by 6. Because we are given a radius, we must either calculate the circumference C using the expression in terms of the radius, or we must convert the radius to a diameter twice the radius and use the expression in terms of the diameter. This result is exact. Again, in each case, the circumference is slightly more than three times the diameter of the circle. Do this by dividing both sides by pi x 2. The circumference of any circle is directly proportional to the diameter and the radius of the circle. For example, a circle with a diameter of 8 has a radius of 4. A circle's radius is the distance from the center of the circle to any point on the edge of the circle.

So, you can convert diameter to radius by dividing the diameter by 2. Such a process is illustrated below.

## Write a formula to determine the circumference of a circle in terms of its area

You should know that 3. If we divide the circumference of any circle by its diameter, we end up with a constant number. So we know that the area, which is 36pi, is equal to pi r squared. The circumference of any circle is directly proportional to the diameter and the radius of the circle. All circles share common properties that allow for formulas that relate these characteristics to one another. Again, in each case, the circumference is slightly more than three times the diameter of the circle. Calculating Circumference As noted above, the circumference of a circle is the length of the line around the edge of the circle. The Relationship of Circumference and Radius The definition of pi reveals the equation for the circumference of a circle. A circle's radius is the distance from the center of the circle to any point on the edge of the circle. Now, if we just solve this as a pure math equation, you might say, OK, we could take the positive and negative square root of So, you can convert diameter to radius by dividing the diameter by 2. We will apply what we know about algebra to the study of circles and thereby determine some of the properties of these figures.

Pi is equal to the circumference of a circle divided by its diameter.

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