CAIE IGCSE Mathematics Core Arc Length and Sector Area

Practise using the sector angle as a fraction of 360° to calculate arc length, sector area, radius or the complete perimeter of a sector.

Exam points

calculate arc length as angle ÷ 360° × 2πr and retain π or round as requested
calculate sector area as angle ÷ 360° × πr² with the same radius and angle units
add two radii to an arc for sector perimeter or rearrange the formula for a missing radius

The diagram shows a circle, centre O, radius 11 cm. C, F, G and H are points on the circumference of the circle.
The line AD touches the circle at C and is parallel to the line EG. B is a point on AD and angle $A B O=140^{\circ}$ .

Calculate the length of the minor arc FH.

___ cm

7.68 or 7.679 to 7.680...
FT their (b)(ii) and (b)(i).
M1 for $\frac{\text{their (b)(ii)}}{360}\times$ their (b)(i).

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C5.3.2 Carry out calculations involving arc length and sector area as question 1