SOLUTION: Jim doesn't like crust, so he cuts a triangular slice out of his pizza. The pizza is 18 inches in diameter. Point P is located in the center and points a and z are the outer edge.

Question 769201: Jim doesn't like crust, so he cuts a triangular slice out of his pizza. The pizza is 18 inches in diameter. Point P is located in the center and points a and z are the outer edge. With the slice removed, what is the remaining area of the pizza?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Hard to draw the figure in a reliable way, so describing.

C is the center point of pizza, P is a point on the edge, make an angle 120 degrees from P to another point M. In middle of P and M is point D.

CP is 18 inches
Triangle CDP is a 30-60-90 triangle and angle CDP is 90 degrees. Angle PCD is 60 degrees. Triangle is half of a equilateral triangle, so CD is 4&1/4 inches.

Use pythagorean theorem,

Area of the slice then is, since there are three triangles with the central angle of 120 degrees,
Which is like AND THEN MULTIPLY BY 6.

Area of the original pizza was
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