Question

1. In the xy-plane, the length of the shortest path from (0,0) to (12, 16) that does not go inside the circle
(x - 6)2 + (y - 8)2 = 25 is​

Answer 1

Answer:

• Let O = (0, 0), P = (6, 8) and Q = (12, 16). As shown in the figure the shortest route consists of tangent OT, minor arc TR and tangent RQ. Since OP = 10, PT = 5, and ∠ OTP = 90°