Question
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.
Ask by Weber Huff.
Dec 04,2024 20:13
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Answer
The diameter of the lake is approximately 159 yards.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mo's total walking distance along the circumference is 500 steps times 1 yard per step, which equals 500 yards. To find the diameter, we use the formula: diameter = circumference / π. Plugging in the values, we get: diameter = 500 yards / 3.14 ≈ 159.24 yards. Rounding to the nearest whole yard, the lake's diameter is approximately 159 yards.
If Mo ever wants to impress friends with a lakeside magic trick, he could use the same principle! By measuring any circle's circumference and dividing by pi (3.14), he can uncover the diameter without needing a measuring tape. This formula works for any circular object, whether it's a pizza or a hula hoop!
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