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Similarity, SMB-007

Two circles have the same centre, `O`, as shown in the diagram below.
 

The radius of the small circle is  `2/3`  the radius of the large circle.

Arc `CD` is 21 cm and the angle between the lines `AC` and `BD` is 45°.

What is the length of the arc `RS` in centimetres?   (3 marks)

--- 6 WORK AREA LINES (style=lined) ---

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`text(42 cm)`

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`text{Circles are similar}`

`text(Arc)\ ST` `= 2/3 xx text(arc)\ CD`
  `= 2/3 xx 21`
  `= 14\ text(cm)`

 

`angleSOR` `= 180-45`
  `= 135^@`
  `= 3 xx angleSOT`

 

`:. text(Arc)\ RS` `= 3 xx text(arc)\ ST`
  `= 3 xx 14`
  `= 42\ text(cm)`

Filed Under: Similarity Tagged With: num-title-ct-corea, smc-4746-30-Other similar figures

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