What is the area of a triangle contained by the points A (0, 0), B (7, 0), and C (0, 4)?
This is a very right triangle.
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?
The distance from the origin to (12, 0) is 12 units long.
(0, 10) or (12, 10)
A circle has a center at (4, -3) and a point P (0, 0). What is the area of the circle?
The distance formula is your best friend here.
25π ≈ 78.5 units2
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?
It might be best to assume that AB is the base (or one of the bases) and then determine what type of quadrilateral we should have.
D (-2, 4)
The diameter of a circle reaches from (-1, 9) to (3, 3). What is the area of the circle?
The area of a circle is A = πr2.
13π ≈ 40.8 units2
Make it rain.