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The circle below centred at O has a radius of 12cm

The circle below centred at O has a radius of 12cm-example-1
User Treaschf
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1 Answer

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Answer:

  • x = 9.7 cm

Explanation:

OB is perpendicular bisector of AC (since AB = BC) so triangle OBC is right triangle.

We have:

  • OB = x,
  • OC = 12 cm,
  • BC = 7 cm

Use Pythagorean to find the missing value:

  • x² + BC² = OC²
  • x² = OC² - BC²
  • x² = 12² - 7²
  • x² = 144 - 49
  • x² = 95
  • x = √95
  • x = 9.7 cm (rounded)
User Kfk
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