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2023 BIMC keystage2-EMIC individual Question 9

xIMC · 2023 BIMC keystage2-EMIC individual

Question 9

Two perpendicular chords of a circle, $AB$ and $CD$, intersect each other at point $E$, as shown in the diagram below. If $AE=28$ cm, $EB=84$ cm and $CE=42$ cm, what is the area, in cm$^2$, of the circle? (Take $\pi=\frac{22}{7}$.)

Question illustration