What is the area of a screw that has a two-inch diameter? Round to the second decimal point.
Understand the Problem
The question asks us to calculate the area of a screw, given that it has a diameter of two inches. We are supposed to solve it and round to the second decimal point.
Answer
3. 14 in²
Answer for screen readers
- 14 in²
Steps to Solve
- Find the radius
The radius is half of the diameter. Since the diameter is 2 inches, the radius $r$ is:
$r = \frac{2}{2} = 1$ inch
- Apply the formula for the area of a circle
The formula for the area $A$ of a circle is given by:
$A = \pi r^2$
Since we know that $r = 1$ inch, we can substitute this value into the formula:
$A = \pi (1)^2 = \pi$
- Approximate $\pi$ and round to the second decimal point
Using the approximation $\pi \approx 3.14159$, we round it to the second decimal place to get:
$A \approx 3.14$ in$^2$
- 14 in²
More Information
The area of the screw is approximately $3.14$ square inches.
Tips
A common mistake would be using the diameter instead of the radius in the area formula. Remember that the formula requires the radius, which is half the diameter. Another common mistake would be to incorrectly round the final answer.
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