$A,B,C,D$ and $E$ lie on a circle, centre $O$. $FG$ is a tangent to the circle at $E$. Ang

Question

$A,B,C,D$ and $E$ lie on a circle, centre $O$. $FG$ is a tangent to the circle at $E$. Angle $ABE=35^\circ$ and angle $CBE=75^\circ$. Find the value of $x$ and the value of $y$.[2] Complete this statement with the geometrical reason. Obtuse angle $EOC=150^\circ$ because .......... .[1] The radius of the circle is $6\text{ cm}$. Work out the area of the major sector $EOC$. Give your answer in terms of $\pi$ in its simplest form.[3]

Accepted Answer

(a) $x=35,\ y=105$. (b) The angle at the centre is twice the angle at the circumference on the same arc. (c) $21\pi\text{ cm}^2$.

2026 IGCSE 0580 February/March P22 Q16

2026 IGCSE 0580 February/March P22 Q16

Solution:

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