What is the area of a circle with a diameter of 12.0 meters rounded to 3 significant digits?
First, we need to find the radius of the circle by dividing the diameter by 2. The radius is 12.0 meters / 2 = <<12.0/2=6.0>>6.0 meters.
The formula to calculate the area of a circle is A = πr^2, where A is the area and r is the radius.
We can plug in the value of the radius into the formula and calculate the area: A = π(6.0 meters)^2
Using the value of π (pi) as 3.14159, we can evaluate the expression: A = 3.14159 * (6.0 meters)^2 = 113.0976 square meters.
Rounding to three significant digits, the area of the circle is 113 square meters.