The circumference of the moon is about 6,790 miles. Find the diameter of the moon to the nearest mile. A: 155 miles B: 2,162 miles C: 3,395 miles D: 21,321 miles
C: 3,395 miles
To find the diameter of the moon, we can use the formula for the circumference of a circle:
C = πd
where C is the circumference and d is the diameter.
Given that the circumference of the moon is approximately 6,790 miles, we can plug this value into the equation and solve for d.
6,790 = πd
To isolate d, divide both sides of the equation by π:
d = 6,790 / π
To find the nearest mile, we need to approximate the value of π. Typically, π is approximated as 3.14.
d ≈ 6,790 / 3.14
d ≈ 2,162
Therefore, the diameter of the moon, rounded to the nearest mile, is approximately 2,162 miles.
So the correct answer is B: 2,162 miles.
To find the diameter of the moon, we can use the formula:
Circumference = π * Diameter
Given that the circumference of the moon is approximately 6,790 miles, we can rearrange the formula to solve for the diameter:
Diameter = Circumference / π
Substituting the given value,
Diameter ≈ 6,790 miles / 3.14
Diameter ≈ 2,162 miles
Therefore, the closest answer choice is B: 2,162 miles.