Given that the angular size of Venus is 53�Œ�Œ'' when the planet is 47000000kmkm from Earth, calculate Venus's diameter (in kilometers).
To calculate Venus's diameter, we need to use the formula:
Diameter = Angular size * Distance
First, let's convert 53'' (arcseconds) to degrees. Since there are 60 arcseconds in a minute and 60 minutes in a degree, we divide 53 by 60 * 60:
Angular size in degrees = 53 / (60 * 60) = 0.0147 degrees
Now, plug in the values:
Diameter = 0.0147 degrees * 47,000,000 km
Calculating the result:
Diameter = 0.0147 * 47,000,000 km ≈ 690,900 km
Therefore, Venus's approximate diameter is 690,900 kilometers.