Question
8. \( 2 \times \frac{22}{7} \times(5.25)^{2} \)
Ask by Clarke Turnbull. in India
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The result of the expression \( 2 \times \frac{22}{7} \times (5.25)^2 \) is **173.25**.
Solution
To evaluate the expression:
\[ 2 \times \frac{22}{7} \times (5.25)^2 \]
Let's break it down step by step.
1. **Calculate \( (5.25)^2 \):**
\[
5.25 \times 5.25 = 27.5625
\]
2. **Multiply by \( \frac{22}{7} \):**
\[
27.5625 \times \frac{22}{7} = 27.5625 \times 3.142857 \approx 86.625
\]
3. **Finally, multiply by 2:**
\[
2 \times 86.625 = 173.25
\]
**Final Answer:**
\[ 2 \times \frac{22}{7} \times (5.25)^2 = 173.25 \]
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Simplify this solution Mind Expander
To start, let’s break down the calculation. First, we need to square 5.25. Calculating \( (5.25)^{2} \) gives us \( 27.5625 \). Now, substituting this back into the expression, we get \( 2 \times \frac{22}{7} \times 27.5625 \). Next, multiplying \( \frac{22}{7} \) by \( 27.5625 \) gives approximately \( 85.2142857 \). Finally, when we multiply that by 2, we arrive at roughly \( 170.4285714 \). So the final answer, rounded to two decimal places, is \( 170.43 \).
