# What is the approximate diameter of the moon.

• zman459
In summary, the moon's angle of 9.06 x 10^-3 radians and its distance of 3.84 x 10^8 meters from the Earth can be used to calculate the approximate diameter of the moon using the formula R=S/theta. By thinking of a circle with the Earth as the center and the moon's distance as the radius, the circumference of the circle can be found. The distance occupied by the moon on this circumference is equivalent to its diameter, which can be determined by comparing it to the angle it subtends.
zman459
the moon subtends an angle of 9.06 x 10^-3 radians amd os 3.84 x 10^8 meters from the earth. What is the approximate diameter of the moon.

so i think it has something to do with formula R=S/theta but I'm not sure how to compare the moon and the Earth information to find the diameter of the moon please help!

zman459 said:
the moon subtends an angle of 9.06 x 10^-3 radians amd os 3.84 x 10^8 meters from the earth. What is the approximate diameter of the moon.

so i think it has something to do with formula R=S/theta but I'm not sure how to compare the moon and the Earth information to find the diameter of the moon please help!
Think of a circle around the Earth with radius = distance to the moon. The moon takes up only a small part of that circumference. Find the circumference of that circle. The distance the moon occupies on that circumference is the diameter of the moon. How is that distance related to the angle the moon subtends?

AM

The approximate diameter of the moon can be calculated by using the formula R = S/theta, where R is the distance from the moon to Earth, S is the diameter of the moon, and theta is the angle subtended by the moon. In this case, we know that R = 3.84 x 10^8 meters and theta = 9.06 x 10^-3 radians. Therefore, we can rearrange the formula to solve for S, which gives us S = R x theta. Plugging in the values, we get S = 3.84 x 10^8 meters x 9.06 x 10^-3 radians = 3.48 x 10^6 meters. This is the approximate diameter of the moon, which is about 3,480 kilometers. It is important to note that this is an approximation and the actual diameter of the moon may vary slightly.

## 1. How large is the moon?

The diameter of the moon is approximately 3,474 kilometers (2,159 miles). This makes it about one-fourth the size of Earth.

## 2. Is the moon bigger than Earth?

No, the moon is smaller than Earth. It has a diameter that is about one-fourth the size of Earth's diameter.

## 3. How does the moon's diameter compare to other planets?

The moon's diameter is about one-fourth the size of Earth's diameter. It is also smaller than the diameter of other planets in our solar system, such as Jupiter and Saturn.

## 4. How do scientists measure the diameter of the moon?

Scientists use a variety of techniques to measure the diameter of the moon. These include radar measurements, lunar laser ranging, and spacecraft imagery. The most accurate measurement to date is from lunar laser ranging, which puts the moon's diameter at 3,474.2 km.

## 5. Has the moon's diameter changed over time?

Yes, the moon's diameter has changed over time due to impacts from meteorites and other space debris. However, these changes are very small and not noticeable to the human eye. Scientists estimate that the moon's diameter has decreased by about 50 meters since it was formed.

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