QQuestionMathematics
QuestionMathematics
Sometimes a circumference is known and the diameter is desired. The equation diameter = circumference / 3.14 can be used.
Mo wants to swim across a circular lake, but first wants to know the distance (diameter). Unable to measure distance across a lake, Mo walks the circumference and counts 500 steps, where each step is 1 yard. What is the lake's diameter?
Round to the nearest whole yard.
10 months agoReport content
Answer
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Step 1:: Write down the formula to find the diameter from the circumference.
The formula is: diameter = circumference / π
Step 2:: Convert the circumference from steps to yards.
The problem states that each step is 1 yard. So, 500 steps would be 500 yards.
Step 3:: Substitute the known values into the formula.
diameter = 500 yards / π
Step 4:: Calculate the diameter.
We know that π is approximately 3.14, so the calculation becomes: diameter = 500 yards / 3.14 Using a calculator, we find that the diameter is approximately 159.08 yards.
Step 5:: Round the diameter to the nearest whole yard.
Since the diameter is approximately 159.08 yards, we round it to the nearest whole yard, which is 159 yards.
Final Answer
The lake's diameter is 159 yards.
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