(a)[4]
Find $\angle BCD$. Give a reason for your answer.
(b)[5]
Calculate the area of the shaded region.
(c(i))[3]
Calculate the length of $GH$.
(c(ii))[1]
Calculate the triangle's perimeter.
(c(iii))[2]
Calculate the area of the triangle.
Mathematics 0580 · IGCSE · Circle theorems I
Circle theorems I — practice question
A, B and C are points on a circle whose diameter is $AC$. The line segment $AC$ is extended to $D$, and $\angle BAC = 63^{\circ}$.