What is the area?
Understand the Problem
The question is asking to calculate the area of a pizza with a given diameter of 24 inches. The formula for the area of a circle is provided, which is A = π × radius^2. To solve the problem, we need to find the radius by dividing the diameter by 2, then square it and multiply by π.
Answer
The area of the pizza is approximately \( 452.16 \, \text{in}^2 \).
Answer for screen readers
The area of the pizza is approximately ( 452.16 , \text{in}^2 ).
Steps to Solve
- Find the radius of the pizza
The diameter of the pizza is given as 24 inches. To find the radius, divide the diameter by 2.
$$ \text{Radius} = \frac{\text{Diameter}}{2} = \frac{24 , \text{in}}{2} = 12 , \text{in} $$
- Use the area formula for a circle
The formula for the area ( A ) of a circle is:
$$ A = \pi \times r^2 $$
Where ( r ) is the radius.
- Plug in the radius into the area formula
Substituting the radius into the area formula, we get:
$$ A = \pi \times (12 , \text{in})^2 $$
- Calculate the area
Now calculate ( (12 , \text{in})^2 ):
$$ (12 , \text{in})^2 = 144 , \text{in}^2 $$
Then multiply by ( \pi ):
$$ A = \pi \times 144 , \text{in}^2 $$
- Approximate the area
Using ( \pi \approx 3.14 ):
$$ A \approx 3.14 \times 144 , \text{in}^2 \approx 452.16 , \text{in}^2 $$
The area of the pizza is approximately ( 452.16 , \text{in}^2 ).
More Information
The pizza's area calculation is a good example of using the area formula for circles in real-life situations, such as determining the size of pizza to order.
Tips
- Forgetting to divide the diameter by 2 to find the radius.
- Not squaring the radius correctly before applying the area formula.
- Miscalculating the multiplication step when approximating ( \pi ).
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