QQuestionMathematics
QuestionMathematics
A circle has a diameter of 20 inches. What are the circumference and area of the circle?
Select the correct answer from each drop-down menu.
The circumference is _____ inches.
The area is _____ square inches.
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Answer
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Step 1:I'll solve this step by step using the precise LaTeX formatting guidelines:
Step 2:: Identify the given information
- Diameter ($$d$$) = 20 inches
- We need to find circumference and area
Step 3:: Calculate the radius
r = \frac{d}{2} = \frac{20}{2} = 10 \text{ inches}
Step 4:: Calculate the circumference
C \approx 20 \times 3.14159 = 62.8318 \text{ inches}
C = 2 \pi (10) = 20\pi \text{ inches}
Step 5:: Calculate the area
A \approx 100 \times 3.14159 = 314.159 \text{ square inches}
A = \pi (10)^{2} = 100\pi \text{ square inches}
Final Answer
- Circumference: 62.8 \text{ inches} - Area: 314.2 \text{ square inches}
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