Question

On a specific day in the Venusian calendar a pipe planets in the ground will cast a one degree shadow, while a pipe 105 ¾ miles away will not. What is the circumference of venus ? Using the Internet, how close is this to the real answer ? (show your work)

Answer 1

The arc length on the circle is the distance between the points, therefore the arc length of the circle is 105.75 miles. A pipe on the planet's surface initially casts a one degree shadow, hence the angle subtended by the arc is 1 degrees. Hence the circumference of Venus will be given by,

The actual reported circumference of Venus is 23628 miles. Our value is an overestimate.

It is overestimated by 61.1%.