QQuestionMathematics
QuestionMathematics
Find the radius of a circle with an area of 89 square feet. Round your answer to the nearest hundredth.
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Recall the formula for the area of a circle
- $$\pi$$ is approximately 3.14159
The area of a circle is given by the formula: Where:
Step 3:: Substitute the known area
89 = \pi r^{2}
We know the area is 89 square feet, so:
Step 4:: Solve for radius by rearranging the equation
r^{2} = \frac{89}{\pi}
Step 5:: Take the square root of both sides
r = \sqrt{\frac{89}{\pi}}
Step 6:: Calculate the value
r = \sqrt{\frac{89}{3.14159}} = \sqrt{28.3} = 5.32
Final Answer
The radius of the circle is 5.32 feet (rounded to the nearest hundredth).
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