Final answer:
To find the radius of a circle with a given circumference of 119.32 millimeters, use the formula r = C / (2π), resulting in a radius of approximately 19 millimeters when using π approximated to 3.14159.
Step-by-step explanation:
Calculating the Radius of a Circle from the Circumference
The question involves finding the radius of a circle when its circumference is given. The formula to calculate the circumference (C) of a circle is C = 2πr, where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14159. To find the radius, this formula can be rearranged to solve for r as follows: r = C / (2π).
Using the provided circumference of 119.32 millimeters:
- Insert the value into the rearranged formula: r = 119.32 / (2π).
- Calculate the result using a value of π approximated to 3.14159. This results in r = 119.32 / (2 * 3.14159) = 119.32 / 6.28318.
- Perform the division to find the radius of the circle. r ≈ 18.99 millimeters.
To maintain precision based on the significant figures from the given circumference, the answer can be rounded to 19 millimeters. Therefore, the radius of the circle is approximately 19 millimeters.
In calculations involving physical quantities, it is important to remember to round the final answer to reflect the precision of the given data.