CAIE IGCSE Mathematics Extended E5.3.1 Carry Out Calculations Involving the Circumference and Area of a Circle Questions

Practise Extended 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: 3]

NOT TO SCALE

Points A, B, C and D lie on a circle.
ABCD is a square with area $72\,\text{cm}^2$ .

Calculate the area of the circle.
Give your answer as a multiple of $\pi$ .

Figure for Question CAIE IGCSE Mathematics Extended E5.3.1 Carry Out Calculations Involving the Circumference and Area of a Circle Questions question 1 — CAIE IGCSE Mathematics Extended

$36\pi$ cao.

B2 for answer 113, or 113.0 to $113.1\ldots$ , or an answer in terms of $\pi$ which rounds to 113.
M1 for a correct first step for finding d or r, e.g. $72+72=d^2$ oe, $72=r^2+r^2$ oe, $(\frac{\sqrt{72}}{2})^2+(\frac{\sqrt{72}}{2})^2=r^2$ oe, $\sqrt{72}=\frac{r}{\sin45^\circ}$ oe, or $\frac12 r^2=\frac{72}{4}$ oe.

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CAIE IGCSE Mathematics Extended E5.3.1 Carry Out Calculations Involving the Circumference and Area of a Circle Questions question 1