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stepladder [879]
3 years ago
14

How far is a chord of length 8 cm from the centre of a circle of radius 5 cm

Mathematics
1 answer:
ivann1987 [24]3 years ago
8 0
  • Answer:

<em>OB = 3 cm</em>

  • Step-by-step explanation:

<em>AO = radius = 5 cm</em>

<em>AB = 8cm/2 = 4 cm</em>

<em>Pythagora</em>

<em>OB² = AO² - AB²</em>

<em>= (5cm)² - (4cm)²</em>

<em>= 25cm² - 16cm²</em>

<em>= 9 cm²</em>

<em>OB = √9cm²</em>

<em>= 3 cm</em>

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