In all of the following problems that involve , use = 3.1416.
Determine the area of a circle that has a radius of 14 inches rounded to 3 significant digits.
To determine the area of a circle, we use the formula A = πr^2, where A is the area and r is the radius.
Given that the radius of the circle is 14 inches, we can substitute this value into the formula:
A = π(14)^2
Using the approximation π = 3.1416, the calculation becomes:
A ≈ 3.1416(14)^2
A ≈ 3.1416(196)
A ≈ 615.75296
Rounding to 3 significant digits, the area of the circle is approximately 616 square inches.