At the 1920 FIFA World Cup, there was an earth quake during one of the games and a hole was created with a diameter of 4 feet and sloping sides both 4 feet long from ground-level to the bottom of the pit. The soccer ball, with a radius of one foot, fell into the hole. Find the distance from the center of the Soccer ball to the bottom of the pit in feet.

**Assumptions:**

- The sides of the hole are perfectly straight and smooth.

- The ball falls as far as it can with out changing shape.

- FYI, there wasn't actually an earthquake at the 1920 FIFA World Cup.

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