Question
LESSON 5 | SESSION 4 (9) Jiro sets the tables at his family's sushi restaurant. Next to a pair of chopsticks, he lines up 4 identical circular bowls as shown. What is the exact area of the bottom of one bowl? Show your work. SOLUTION
Ask by Morrison Chambers. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The exact area of the bottom of one bowl is \( \pi r^2 \).
Solution
To find the exact area of the bottom of one bowl, we need to determine the radius of the bowl first.
Given that there are 4 identical circular bowls, we can assume that the radius of each bowl is the same.
Let's denote the radius of the bowl as \( r \).
The area of the bottom of one bowl can be calculated using the formula for the area of a circle:
\[ \text{Area} = \pi r^2 \]
Since we are looking for the exact area, we will keep the answer in terms of \( \pi \) without simplifying it further.
Simplify the expression by following steps:
- step0: Solution:
\(\pi r^{2}\)
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Simplify this solution Beyond the Answer
To find the exact area of the bottom of one bowl, we first need to know the radius of the bowl. If we assume the diameter of each bowl is given or can be inferred from the context, we can calculate the area using the formula: Area = πr², where 'r' is the radius of the bowl. For example, if each bowl has a diameter of 10 cm, the radius would be half of that: r = 10 cm / 2 = 5 cm. Then, we can plug it into the formula: Area = π(5 cm)² = π(25 cm²) = 25π cm². Thus, the exact area of the bottom of one bowl would be 25π cm². If the diameter differs, simply adjust the calculations using the appropriate radius. Enjoy your sushi!
