A circular wall is 0.500 meter thick and has an inside diameter of 13.50 meters. Find the cross-sectional area of a wall. Round the answer to the nearest tenth square meter.
The cross-sectional area of a wall is the area of a circle formed by the inside diameter of the wall. We can calculate the area using the formula for the area of a circle:
Area = π * r^2
The radius of the circle is half of the inside diameter, so:
Radius = diameter / 2 = 13.50 / 2 = 6.75 meters
Now we can calculate the area:
Area = π * (6.75)^2 = π * 45.5625
Since we are rounding to the nearest tenth square meter, we can use 3.14 as an approximation for π. Therefore:
Area ≈ 3.14 * 45.5625 ≈ 143.09875
Rounded to the nearest tenth square meter, the cross-sectional area of the wall is:
Area ≈ 143.1 square meters.