Question
is pi(4 in)^2/2 area or volume? What are the units?
Answers
GPT-4o mini
The expression \(\pi(4 \text{ in})^2 / 2\) represents an area. Here's the breakdown:
1. \((4 \text{ in})^2\) gives the area of a circle with a radius of 4 inches.
2. When you multiply by \(\pi\), you are calculating the area of a circle.
3. Dividing by 2 gives you half of that area.
So the units of the final result will be in square inches (in\(^2\)), which is consistent with an area measurement.
Thus, \(\pi(4 \text{ in})^2 / 2\) has units of square inches and represents half the area of a circle with a radius of 4 inches.
1. \((4 \text{ in})^2\) gives the area of a circle with a radius of 4 inches.
2. When you multiply by \(\pi\), you are calculating the area of a circle.
3. Dividing by 2 gives you half of that area.
So the units of the final result will be in square inches (in\(^2\)), which is consistent with an area measurement.
Thus, \(\pi(4 \text{ in})^2 / 2\) has units of square inches and represents half the area of a circle with a radius of 4 inches.