QQuestionMathematics
QuestionMathematics
A circle has a radius of 15 inches. What is the area, in square inches, of this circle?
(The area of a circle with a radius of r is equal to πr^2.)
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Answer
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Step 1:I'll solve this problem following the specified LaTeX and formatting guidelines:
Step 2:: Identify the Given Information
- Formula for circle area: $$A = \pi r^{2}
- Radius (r) = 15 inches
Step 3:: Substitute the Radius into the Area Formula
A = \pi (15)^{2}
- Plug in r = 15 into the formula
Step 4:: Calculate the Area
A = 225\pi
- Square the radius first - Multiply by π
Step 5:: Simplify the Result
- The area is $$225\pi$$ square inches
- If a decimal approximation is needed: A \approx 225 \times 3.14159 = 706.86 square inches
Final Answer
The area of the circle is 225\pi square inches, which is approximately 706.86 square inches.
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