Rectangle or box in a circle or sphere: diagonal = diameter

CAT has tested this idea 4 times across 4 papers, from 2018 to 2024. Solve one, and the others are the same method with different numbers or wording, which is why repeated concepts are the most efficient thing to practise.

Question	What it asks	Answer
CAT 2022 Slot 1 · QA Q19	rectangle in circle radius R, perimeter P; area	B
CAT 2018 Slot 1 · QA Q18	rectangle in circle of radius 13; possible sides	D
CAT 2024 Slot 1 · QA Q16	box in sphere from surface area and edge sum	B
CAT 2023 Slot 2 · QA Q18	triangle on a diameter with legs in ratio a:b	D

Part of Geometry (65 questions since 2017).