# Calculating Radius of Circle from String Length

• lha08
In summary, the formula for calculating the radius of a circle from the string length is r = l/2π, where r is the radius, l is the length of the string, and π is the mathematical constant pi. This formula can be used for all circles, but the accuracy may vary depending on the precision of the measurement of the string length. To double-check the accuracy, the diameter of the circle can be measured and divided by 2, or the circumference can be measured using a different method and compared to the calculated radius.

## Homework Statement

How can i calculate the radius of a circle given the length of string 1.2 meters that is revolving?

## The Attempt at a Solution

You need to be more clear. What do you mean "length of string 1.2 meters that is revolving"? Do you mean that the string is wound around the circle?

lha08 said:

## Homework Statement

How can i calculate the radius of a circle given the length of string 1.2 meters that is revolving?

## The Attempt at a Solution

What does the "revolving string" have to do with the circle?

## 1. What is the formula for calculating the radius of a circle from the string length?

The formula for calculating the radius of a circle from the string length is: r = l/2π, where r is the radius, l is the length of the string, and π is the mathematical constant pi.

## 2. Can the radius of a circle be calculated if only the string length is known?

Yes, the radius of a circle can be calculated if only the string length is known. As mentioned before, the formula is r = l/2π. However, it is important to note that this formula assumes that the string is the exact length of the circumference of the circle.

## 3. What units should be used for the string length when calculating the radius of a circle?

The units used for the string length should match the units used for the radius. For example, if the radius is measured in meters, the string length should also be measured in meters. This ensures that the final result for the radius is in the correct units.

## 4. Can this calculation be used for all circles, regardless of size?

Yes, this calculation can be used for all circles, regardless of size. The formula for calculating the radius from the string length is a universal formula that applies to all circles. However, it is important to note that the accuracy of the result may vary depending on the precision of the measurement of the string length.

## 5. Is there a way to double-check the accuracy of the calculated radius?

Yes, there are a few ways to double-check the accuracy of the calculated radius. One way is to measure the diameter of the circle and divide it by 2 to get the radius. This value should be close to the calculated radius. Another way is to measure the circumference of the circle using a different method and compare the results to the calculated radius. If they are similar, then the calculated radius is likely accurate.