Math Problem Statement
The circle shown has a radius of 5 inches. Which measurement is closest to the area in square inches of the circle? Use π = 3.14. A. 314 in² B. 78.5 in² C. 56.52 in² D. 28.26 in²
Solution
To solve the problem, we calculate the area of the circle using the formula:
Step-by-Step Solution:
- The radius of the circle is inches.
- Substitute and into the formula:
- Simplify:
The area of the circle is approximately 78.5 in².
Thus, the correct answer is B. 78.5 in².
Would you like additional details or have any questions?
Related Questions:
- What is the formula for the circumference of a circle, and how would you calculate it for this circle?
- If the diameter was given instead of the radius, how would you calculate the area?
- What would the area be if the radius was doubled?
- How does using a more precise value of (e.g., ) affect the result?
- What are the practical applications of calculating the area of a circle in real-world scenarios?
Tip:
Always double-check the units and ensure you're squaring the radius properly when using the area formula!
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of a Circle
Formulas
A = πr²
Theorems
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Suitable Grade Level
Grades 6-8