CAIE IGCSE Mathematics Core C5.3.2 Carry Out Calculations Involving Arc Length and Sector Area As Questions

Practise Core 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: 2]

Figure for Question CAIE IGCSE Mathematics Core C5.3.2 Carry Out Calculations Involving Arc Length and Sector Area As Questions question 1 — CAIE IGCSE Mathematics Core

\section*{NOT TO SCALE}

The diagram shows a sector of a circle with radius $r \mathrm{~cm}$ and sector angle $72^{\circ}$ . The arc length is 9.35 cm.

Calculate the value of r.

7.44 or 7.439 to 7.440
M1 for $2\pi r\times\frac{72}{360}=9.35$ oe or better

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CAIE IGCSE Mathematics Core C5.3.2 Carry Out Calculations Involving Arc Length and Sector Area As Questions question 1