Circumscribed and Inscribed Circles

• Some useful properties of incircle,  inradius, and circumcircle

2004 AMC 10B Problem 22

2020 AIME I Problem 13 Problem 15

2020 AIME II Problem 13 Problem 15

2022 AIME I Problem 8

2023 AIME I Problem 8

2024 AIME I Problem 8

2024 AIME II Problem 10