CAIE IGCSE Mathematics Core C5.3.1 Carry Out Calculations Involving the Circumference and Area of a Circle Questions

Practise Core CAIE IGCSE Mathematics by applying circle formulas, π and appropriate measurement units.

Exam points

Calculate circumference and area of a circle using the radius or diameter.
Use π consistently and give answers in appropriate units.
Rearrange circle formulas to find an unknown radius, diameter, circumference or area.

[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.

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CAIE IGCSE Mathematics Core C5.3.1 Carry Out Calculations Involving the Circumference and Area of a Circle Questions question 1

Question (a)

Question (b)