Points A, B, C, D and E lie on the circumference of a circle with centre $O$. $GAF$ is a tangent to the circle at $A$. $AB$ is parallel to $EC$ and $AB = AD$. The diagram is not drawn to scale.
(a)[1]
Write down the mathematical name for triangle $ABD$.
(b(i))[1]
Find the numerical value of $a$.
(b(ii))[1]
Find the numerical value of $b$.
(b(iii))[1]
Find the numerical value of $c$.
(b(iv))[1]
Find the numerical value of $d$.
(b(v))[2]
Find the numerical value of $e$.
(c)[3]
Calculate the circumference of the circle, and give your answer correct to 1 decimal place.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “isosceles triangle” …