QQuestionMathematics
QuestionMathematics
What are the diameter and radius of a circle with an 18 -inch circumference?
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Answer
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Step 1:: Recall the formula for the circumference of a circle.
The formula for the circumference of a circle is $$C = 2πr$$, where $$C$$ represents the circumference and $$r$$ represents the radius.
Step 2:: Plug in the given circumference value into the formula.
So, we have $$18~\text{in} = 2πr$$.
We are given that the circumference is 18 inches.
Step 3:: Solve for the radius.
Step 4:: Calculate the diameter.
The diameter is twice the radius, so we have: d = 2r = 2 \times 2.82~\text{in} \approx 5.65~\text{in}
Final Answer
The radius of the circle is approximately 2.82 inches and the diameter is approximately 5.65 inches.
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