Happy $\large{\frac{\tau}{2}}$ Day!

Since we are halfway (relative to January 1) to $\large{\tau}$ Day, which is June 28, I figured I should celebrate this checkpoint with a problem.

The distance between Earth and the sun is called an astronomical unit. It takes one year for Earth to completely orbit the sun, and 1 year is equal to 12 months. Imagine that your birthday is 6 months from today.

How far, in astronomical units, will Earth travel between now and your birthday?

Round your answer to the nearest hundredth.

Details and Assumptions:

• 1 month is exactly $\frac{1}{12}$ of a year.
• Earth's orbit is perfectly circular.