Question

Point P lies on circle C, x^2+y^2=36. There are two unique tangents to circle D, x^2+y^2=18 that pass through point p. What is the measure of the angle between the two tangent lines?

Answer 1

Answer:

90°

Step-by-step explanation:

Circle C has radius √36 = 6

Circle D has radius √18 = 3√2

As the D radius intersecting either point of tangency, does so at a right angle.

The half angle θ between the tangents is

sinθ = 3√2 / 6 = ½√2

θ = 45°

so the angle between the tangents is 2(45) = 90°