Mathematics 0580 · IGCSE · Circles, arcs and sectors

Circles, arcs and sectors — practice question

The side length of a regular 12-sided polygon is 6 cm.
(a)[1]

Show that a single interior angle of the polygon equals $150^\circ$.

(b(i))[3]

Show that the circle's radius, $AO$, is 11.6 cm, correct to 1 decimal place.

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

Calculate the circle's circumference.

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

Calculate the perimeter of the shaded minor segment bounded by chord $AB$.

(c)[3]

Calculate the prism's volume.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: So $(12-2)\times\frac{180}{12}=150$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI