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The circumference of a circle is 119.32 meters. what is the circle's diameter? use ​ ≈ 3.14 and round your answer to the nearest hundredth.

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Final answer:

To find the diameter of a circle with a circumference of 119.32 meters, divide the circumference by π (3.14), which results in a diameter of approximately 38.00 meters.

Step-by-step explanation:

The student has asked for help in determining the diameter of a circle when given its circumference. According to the question, the circumference of a circle is 119.32 meters. To find the circle's diameter, we need to use the formula for the circumference of a circle, which is C = πd, where C represents the circumference and d the diameter. Since we are given that π ≈ 3.14, we can rearrange the formula to solve for the diameter (d = C/π). By substituting the given circumference into this formula, we can calculate the diameter:

d = 119.32 meters / 3.14 ≈ 38.00 meters

After dividing the given circumference by pi (3.14), we find that the diameter of the circle is approximately 38.00 meters, rounded to the nearest hundredth as requested. It is essential to keep consistency in precision and significant figures to maintain accuracy in our calculations, as illustrated in the example provided for the area calculation of a circle with a radius of 1.2 meters.

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