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What is the area (in cm2) of a circle that circumscribes a triangle with sides 28 cm, 45 cm and 53 cm?

3215Medium DSSSB TGT Computer Science 0 replies 1 views
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What is the area (in cm2) of a circle that circumscribes a triangle with sides 28 cm, 45 cm and 53 cm?

  • A702.25π
  • B729π
  • C784π
  • D506.25π
Correct answer: A

Explanation

28² + 45² = 784 + 2025 = 2809 = 53², so the triangle is right-angled and the hypotenuse 53 is the diameter. R = 26.5 and the area = π × 26.5² = 702.25π cm².

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