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The diagram shows 2 wheels of radii 15 cm and 24 cm. Their centres, H and K, are 41 cm apart. ( Refer to the attatchment given )

Help me find the lengthof the belt by providing workings. Thanks!

The diagram shows 2 wheels of radii 15 cm and 24 cm Their centres H and K are 41 cm apart Refer to the attatchment given Help me find the lengthof the belt by p class=

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caylus
Hello,

[tex]1) \\ cos(\widehat{HKR})= \dfrac{9}{41} ==\ \textgreater \ \widehat{HKR}=1.34948188...rad\\\\ sin(\widehat{KHR})= \frac{9}{41} ==\ \textgreater \ \widehat{KHR}=0,22131444...rad\\\\ [/tex]

[tex]\widehat{QKA}=\pi-1,34948188...=1,792110769...rad\\\\ $\overset{\frown}{QA}$=24*1,792110769...=43,010658459...\\\\ \widehat{KHB}= \frac{\pi}{2}-0,22131444...=1,3494888...\\\\ $\overset{\frown}{PB}$=15*1,3494888...=20,2422282\\\\ [/tex]

2)
[tex] |HR|=\sqrt{9^2+41^2} =41,976183723\\\\[/tex]


length=2*(43,010658459+20,2422282+41,976183723)=210,458140764











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