Find the Radius Using Only Two Rectangle Areas

Learn how to find the radius of a circle using two rectangle areas, a diameter, and a chord. In this step-by-step geometry solution, we use the perpendicular relationship between the diameter and chord, the theorem that a perpendicular from the center bisects a chord, and the intersecting chords theorem. Given rectangle areas of 108 cm² and 192 cm², we build a simple algebraic system to find the chord segments, determine the full diameter, and finally calculate the circle’s radius as 12.5 cm. This problem is a great practice exercise for students studying circle geometry, area, algebra, SAT math, GCSE maths, and other high school geometry topics. Follow the full walkthrough and see how geometry and algebra work together to solve the problem. #Geometry #CircleGeometry #MathProblem #GeometryTutorial #SATMath