The distance round a great circle is 40000km.What is the diameter of the great circle?
2 pi r = 40,000
D = 2 r = 40,000/pi
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The distance around a great circle is equal to the circumference of that circle. The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter.
Given that the distance around the great circle is 40000 km, we can set up the equation as:
40000 km = πd
To find the diameter, we can divide both sides of the equation by π:
40000 km / π = d
Using a calculator, we can approximate the value of π as 3.14159:
40000 km / 3.14159 ≈ d
d ≈ 12732.2 km
Therefore, the diameter of the great circle is approximately 12732.2 kilometers.
To find the diameter of a great circle given its distance around the circle (also known as the circumference), you can use the formula for the circumference of a circle:
C = π * d
Here, C represents the circumference, π is a mathematical constant approximately equal to 3.14159, and d represents the diameter.
Since you know that the distance around the great circle is 40000 km, you can substitute this value into the equation:
40000 = π * d
To solve for d, divide both sides of the equation by π:
d = 40000 / π
Calculating this expression yields:
d ≈ 12732.455 km
Therefore, the diameter of the great circle is approximately 12732.455 km.