Final answer:
To calculate the radius of a circle with an area of 113.04 square inches, the formula A = πr² is used, which rearranged gives r = √(A/π). Substituting in the values, the radius is found to be 6 inches.
Step-by-step explanation:
To find the length of the radius when given the area of a circle and using the formula A = πr², where π is approximated to 3.14, we can rearrange the equation to solve for r (the radius):
r = √(A/π)
Given that the area A is 113.04 square inches, we can substitute this value into the equation:
r = √(113.04/3.14)
r = √(36)
Therefore, the radius r is 6 inches.
The precision of our final answer is determined by the significant figures in the given area. As a rule, when working with measurements and constants, the final answer should not have more significant figures than the least precise measurement. Additional significant figures from calculations beyond this precision are usually not reported, unless specifically required.