Question 11
$A,B,C$ and $D$ are four distinct points lying on the circumference of a circle such that chords $AB$ and $CD$ are perpendicular at point $E$.
The source prose states that $EA=4$, $EB=2$ and $EC=6$. Its diagram labels $EB=24$. Find the radius of the circle, using the convention stated below.
Source discrepancy: the prose gives $EB=2$, whereas the printed diagram labels $EB=24$. Both are retained. For the main answer, follow the diagram and use $EB=24$; the solution also treats the literal prose value.
Original source image, preserving the printed mathematical labels and any disclosed source discrepancy.
The source prose states that $EA=4$, $EB=2$ and $EC=6$. Its diagram labels $EB=24$. Find the radius of the circle, using the convention stated below.
Source discrepancy: the prose gives $EB=2$, whereas the printed diagram labels $EB=24$. Both are retained. For the main answer, follow the diagram and use $EB=24$; the solution also treats the literal prose value.
Original source image, preserving the printed mathematical labels and any disclosed source discrepancy.