The approximate circumference of a circle is 7,459 miles. What is the diameter rounded to the nearest hundredths place? Use 3.14 for π .(1 point)

miles

Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. Since the diameter is twice the radius, we have D = 2r.

Given that the circumference is 7,459 miles, we have:

7,459 = 2πr

Solving for r:

r = 7,459 / (2π)

r ≈ 1187.22 miles

Since the diameter is twice the radius, we have:

D ≈ 2(1187.22) = 2374.44 miles

Rounded to the nearest hundredths place, the diameter is 2374.44 miles.

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