CAIE IGCSE Mathematics Extended E5.3.2 Carry Out Calculations Involving Arc Length and Sector Area As Questions

Practise Extended CAIE IGCSE Mathematics by using circle fractions, central angles and sector formulas.

Exam points

Calculate arc length as a fraction of a circle circumference.
Calculate sector area as a fraction of the full circle area.
Use central angles and radians or degrees consistently in sector calculations.

[Maximum number: 3]

Figure for Question CAIE IGCSE Mathematics Extended E5.3.2 Carry Out Calculations Involving Arc Length and Sector Area As Questions question 1 — CAIE IGCSE Mathematics Extended

The diagram shows a shape made from a major sector AOB and triangles OBC and AOD. $O B=6 \mathrm{~cm}, B C=2 \mathrm{~cm}$ , obtuse angle $A O C=135^{\circ}$ and angle $B C O=90^{\circ}$ .

Calculate the area of the major sector AOB.

64.6 or 64.55 to 64.58
M2 for $\frac{360-135-19.5}{360}\times\pi\times6^2$ oe
or M1 for $\frac{k}{360}\times\pi\times6^2$ oe

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CAIE IGCSE Mathematics Extended E5.3.2 Carry Out Calculations Involving Arc Length and Sector Area As Questions question 1