Mathematics 0580 · IGCSE · Circles, arcs and sectors

Circles, arcs and sectors — practice question

(a)[2]

Find $w$.

(b(i))[2]

Find the size of angle $BAM$.

(b(ii)(a))[2]

Find the size of angle $BAD$.

(b(ii)(b))[1]

Give a geometrical reason for saying that $BD$ is not the diameter of the circle.

(c(i))[3]

Show that angle $AOC = 108.12^\circ$, correct to 2 decimal places.

(c(ii))[2]

Calculate the length of minor arc $ABC$.

(c(iii))[3]

Calculate the area of major sector $OCDA$.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct method $\frac{360}{5+3}\times k$

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