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Suppose an exoplanet with a radius of 66,290 km the size of Jupiter in front of its star has a radius of 729,120 km the size of the sun

What percentage of the star's light would be blocked by the exoplanet? Round the answer to the second decimal place.

User RichieV
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Approximately 0.0153% of the star's light would be blocked by the exoplanet.

To determine the percentage of the star's light blocked by the exoplanet, we can use the formula for the area of a circle (which is proportional to the amount of light blocked). The area of the exoplanet can be compared to the area of the star as seen from the perspective of an observer on Earth. The ratio of the areas gives the proportion of light blocked.

The area of a circle is given by the formula A=πr^2, where r is the radius. For the star, with a radius of 729,120 km, the area is A star=π×(729,120km)^2, and for the exoplanet, with a radius of 66,290 km, the area is A exoplanet=π×(66,290km)^2.

The percentage of light blocked is then calculated as A exoplanet ×100 /A star. After the calculations, the result is approximately 0.0153%, meaning that this fraction of the star's light is blocked by the exoplanet as observed from Earth.

User Damccull
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