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Example 1

What is the area of a triangle contained by the points A (0, 0), B (7, 0), and C (0, 4)?

Example 2

A triangle has an area of 60 units2. If it has one point at the origin and another point at (12, 0), where can its final point be plotted?

Example 3

A circle has a center at (4, -3) and a point P (0, 0). What is the area of the circle?

Example 4

A quadrilateral has the points A (0, 0), B (0, 10), C (12, 4), and another point D. If the area of the quadrilateral is 48 units2, what are the coordinates of D?

Example 5

The diameter of a circle reaches from (-1, 9) to (3, 3). What is the area of the circle?

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