What is pie times 13 squared
The correct Answer and Explanation is:
The expression “π times 13 squared” can be written as:
[
π \times (13^2)
]
First, calculate ( 13^2 ) (13 squared):
[
13^2 = 13 \times 13 = 169
]
Next, multiply this result by ( π ). Using ( π ≈ 3.1416 ):
[
π \times 169 ≈ 3.1416 \times 169 ≈ 531.04
]
So, the result of ( π \times 13^2 ) is approximately 531.04.
Explanation:
In this problem, you are tasked with multiplying π by the square of 13. The key to solving it is recognizing that you need to square the number first and then multiply by π (Pi). Let’s break this down step by step.
- Squaring 13: When you square a number, you multiply it by itself. So, squaring 13 means ( 13 \times 13 ), which equals 169. This process is straightforward: you just need to perform the multiplication of 13 with itself.
- Understanding π (Pi): π (Pi) is a mathematical constant approximately equal to 3.1416. It is the ratio of a circle’s circumference to its diameter and is an irrational number, meaning its decimal expansion goes on forever without repeating. Pi is used in many calculations involving circles, such as finding the area of a circle, but in this case, we’re simply multiplying it by the square of 13.
- Final Calculation: After squaring 13 to get 169, you multiply this by π, approximately 3.1416. This gives: [
3.1416 \times 169 ≈ 531.04
]
This value is important in contexts involving geometry and trigonometry. For example, if this were a problem involving the area of a circle with a radius of 13 units, the formula ( A = πr^2 ) would yield the same result, approximately 531.04 square units.