EduNinja

[Maximum number: 4]

The diagram shows a circle, centre O, radius 11 cm. C, F, G and H are points on the circumference of the circle.
The line AD touches the circle at C and is parallel to the line EG. B is a point on AD and angle $A B O=140^{\circ}$ .

(a)

Find, in terms of $\pi$ , the circumference of the circle.

___ cm

[ 2 ]

$22\pi$ final answer
M1 for $2\times11\times\pi$ .

(b)

Calculate the length of the minor arc FH.

___ cm

[ 2 ]

7.68 or 7.679 to 7.680...
FT their (b)(ii) and (b)(i).
M1 for $\frac{\text{their (b)(ii)}}{360}\times$ their (b)(i).

[Maximum number: 4]

The scale drawing shows a map of Kingswood Park.

There are two straight paths and one circular path.
The scale is 1 cm represents 200 m .

Figure for Question 2 — CAIE IGCSE Mathematics Core

Ivan runs once around the circular path.

Calculate the distance Ivan runs.

3770 or 3769.9 to 3770.4
B2 for diameter 1200 metres soi, or B1 for diameter 6 cm soi.
M1 for $\pi\times$ their diameter soi.

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

Question 1

Question (a)

Question (b)

Question 2