Circumference 1.2m. What is the length of the other circle, whose diameter is 2 times the diameter of the first circle?
June 26, 2021 | education
| To find the answer to the question, recall the number π, which in the formula connects the length with the diameter of the circle. We know that L = π * D. In the task L = 1.2 m. Since the diameter of the other circle is twice as large, then it can be expressed as 2 * D. Let us denote the length in the second case as L2. Substitute the new diameter value into the formula:
L2 = π * 2 * D = 2 * π * D = 2 * L = 2 * 1.2 = 2.4 m
We didn’t need the value of π as a number. Since the right side of the equality has doubled, then the value on the left has doubled.
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