CAIE IGCSE Mathematics Core C5.3 Circles…Sectors

Covered syllabus points

C5.3.1 Carry out calculations involving the circumference and area of a circle.C5.3.2 Carry out calculations involving arc length and sector area as

[Maximum number: 5]

NOT TO SCALE

(a)

The area of the circle is $43.5 \mathrm{~cm}^{2}$ .

Calculate the radius of the circle. cm [2]

[ 2 ]

3.72 or 3.720 to 3.721...

M1 for $r^2=\frac{43.5}{\pi}$ or better.

(b)

The diameter of a different circle is 6.4 cm .

Calculate the circumference of this circle.
Give your answer in millimetres.

[ 3 ]

201 or 201.0 to 201.1

B2 for 20.1 or 20.10 to 20.11 cm, or $64\pi$ .
M1 for $6.4\times\pi$ oe.
B1 for their 20.1 cm seen and correctly converted to mm.

[Maximum number: 2]

Figure for Question 2 — 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

[Maximum number: 3]

NOT TO SCALE

The diagram shows three small circles and one large circle.
The large circle has radius 20 cm.
The small circles each have radius 4 cm.
Work out the shaded area.
Give your answer in terms of $\pi$ .
$\mathrm{cm}^2$

$352\pi$ cao nfww
M2 for $20^2-3\times4^2$ oe, or M1 for $20^2$ or $4^2$ oe

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CAIE IGCSE Mathematics Core C5.3 Circles Arcs and Sectors Topic Practice

Covered syllabus points

Question 1

Question (a)

Question (b)

Question 2

Question 3