Question

Let O be the center of a circle with radius 4. Suppose that DL and DQ are tangent to circle O at points L and Q respectively. If DL = 3, find the area of quadrilateral DLOQ.

Answer 1

Triangles DLO and DQO are right triangles, each with one leg of length 3 (the tangent length) and one leg of length 4 (the radius). Since the area of each of these triangles is half the product of the leg lengths, their area together is the product of the leg lengths:

... (3 units)×(4 units) = 12 square units