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Measuring the Diameter of the Sun and the Moon

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Summary

Areas of Science
Difficulty
 
Time Required
Short (2-5 days)
Safety
Never, ever look directly at the Sun. You can permanently damage your eyes.
*Note: For this science project you will need to develop your own experimental procedure. Use the information in the summary tab as a starting place. If you would like to discuss your ideas or need help troubleshooting, use the Ask An Expert forum. Our Experts won't do the work for you, but they will make suggestions and offer guidance if you come to them with specific questions.

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Abstract

You can measure the diameter of the Sun (and Moon) with a pinhole and a ruler! All you need to know is some simple geometry and the average distance between the Earth and Sun (or Moon). An easy way to make a pinhole is to cut a square hole (2-3 cm across) in the center of a piece of cardboard. Carefully tape a piece of aluminum foil flat over the hole. Use a sharp pin or needle to poke a tiny hole in the center of the foil. Use the pinhole to project an image of the Sun onto a wall or piece of paper (Figure 1). Use a ruler to measure the diameter of the projected image. Use your knowledge of geometry to prove that you can calculate the diameter of the Sun using the following proportionality:

Equation for measuring the diameter of the sun using a pinhole and ruler

The equation for measuring the diameter of the sun. The diameter of the sun divided by the distance from the sun to the Earth is equal to the diameter of the image of the sun through a pinhole divided by the distance of the pinhole to the image.

You can also use your pinhole projector to safely view a solar eclipse (by looking at the projected image - do not look directly at the sun, even through the pinhole!). Check out the resources in the Bibliography to learn about more ways to safely view a solar eclipse. If it is a cloudy day, you can also try this experiment with a flashlight or other source of light (Figure 2).

A pinhole projector being used outdoors.
Figure 1. Pinhole projector being used to view a projection of the sun on a piece of paper.

A pinhole projector being used indoors with a flashlight.
Figure 2. Pinhole projector being used indoors with a flashlight.

Bibliography

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Careers

If you like this project, you might enjoy exploring these related careers:

Career Profile
Astronomers think big! They want to understand the entire universe—the nature of the Sun, Moon, planets, stars, galaxies, and everything in between. An astronomer's work can be pure science—gathering and analyzing data from instruments and creating theories about the nature of cosmic objects—or the work can be applied to practical problems in space flight and navigation, or satellite communications. Read more
Career Profile
Mathematicians are part of an ancient tradition of searching for patterns, conjecturing, and figuring out truths based on rigorous deduction. Some mathematicians focus on purely theoretical problems, with no obvious or immediate applications, except to advance our understanding of mathematics, while others focus on applied mathematics, where they try to solve problems in economics, business, science, physics, or engineering. Read more

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MLA Style

Science Buddies Staff. "Measuring the Diameter of the Sun and the Moon." Science Buddies, 26 Mar. 2024, https://www.sciencebuddies.org/science-fair-projects/project-ideas/Astro_p026/astronomy/measuring-the-diameter-of-the-sun-and-the-moon?class=AQXuJXZ9MGvCnRMOwU3b3uOvL2BP6QWjoDLkX7CTmjOfSlUUIydO2YLs1pg8PbFWj4i3Y50ZUYM3E0oeLMvF_4hh7BXAMfKxksoqS5uNNhqYkw. Accessed 18 Apr. 2024.

APA Style

Science Buddies Staff. (2024, March 26). Measuring the Diameter of the Sun and the Moon. Retrieved from https://www.sciencebuddies.org/science-fair-projects/project-ideas/Astro_p026/astronomy/measuring-the-diameter-of-the-sun-and-the-moon?class=AQXuJXZ9MGvCnRMOwU3b3uOvL2BP6QWjoDLkX7CTmjOfSlUUIydO2YLs1pg8PbFWj4i3Y50ZUYM3E0oeLMvF_4hh7BXAMfKxksoqS5uNNhqYkw


Last edit date: 2024-03-26
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