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

Find an arc length with the degree fraction θ/360 of 2πr, using a sector angle that divides 360°.
Calculate a sector area as θ/360 × πr² and simplify exact multiples of π when requested.
Add two radii to the arc length when finding the perimeter of a complete sector.
Form an arc-length equation and rearrange it to recover an unknown radius.

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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