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tmua.me Medium Set D Paper 2 · Q17

Paper 2Algebra

Two circular wheels have radii 4 cm4\text{ cm} and 1 cm1\text{ cm}, and their centres OO and PP are 6 cm6\text{ cm} apart.

A thin belt is pulled taut around the outside of both wheels, as shown. The belt does not cross itself. It consists of two straight common tangents and an arc of each wheel.

What is the total length of the belt, in centimetres?

Diagram for question 17

A5π+635\pi+6\sqrt3
B6π+126\pi+12
C6π+336\pi+3\sqrt3
D4π+634\pi+6\sqrt3
E6π+636\pi+6\sqrt3
F10π+6310\pi+6\sqrt3

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