Question

The Tasty as Pi Bakery sells circular pies with a $9$ inch diameter. The bakery offers two different sizes of pie slices: small and large.

Cutting a pie into $5$ equal pieces produces $5$ large slices. The small slices measure $27$ degrees fewer than the large slice.

How many equal pieces should they cut a whole pie into so that each piece is a small slice?

Answer 1

A pie has 360 degrees, so a pie cut into 5 equal pieces produces 5 slices that each measure 360 / 5 = 72 degrees.

A small slice measures 27 degrees fewer than a large slice, so it measures 72 - 27 = 45 degrees.

To find the number of pieces a pie should be cut into so that each piece is a small slice, we need to determine how many degrees each slice measures. To do this, we divide 360 by the number of pieces:

360 / n = 45

Solving for n, we get:

n = 360 / 45 = 8

So, the Tasty as Pi Bakery should cut a whole pie into 8 equal pieces so that each piece is a small slice.