To solve the expression \( 300 \times \left(\frac{3\pi}{4}\right) \):

1. Multiply 300 by \(\frac{3}{4}\):
   \[
   300 \times \frac{3}{4} = 300 \times 0.75 = 225
   \]

2. Now, multiply the result by \(\pi\):
   \[
   225 \times \pi = 225\pi
   \]

So, the final answer is \( 225\pi \) or approximately \( 707.36 \) when using \(\pi \approx 3.14159\).

Would you like further details or have any questions?

Here are some related questions to explore:

1. How do you calculate the exact value of a trigonometric expression involving \(\pi\)?
2. What are the properties of the constant \(\pi\)?
3. How would this expression change if you multiplied by \( \frac{5\pi}{6} \) instead?
4. What is the geometric interpretation of multiplying by \(\pi\)?
5. How does the multiplication of large numbers and \(\pi\) appear on a graph?

**Tip:** Remember, when dealing with \(\pi\) in calculations, it often helps to keep it in symbolic form until the very end to maintain precision.

Explore how to solve the expression 300*(3π/4) with a detailed step-by-step approach. Learn the importance of keeping π in symbolic form for precision and how to calculate the approximate value. This problem is suitable for high school students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation