हिंदी

Given O is the centre of the circle and ∠AOB = 70°. Calculate the value of: ∠OCA, ∠OAC. - Mathematics

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प्रश्न

Given O is the centre of the circle and ∠AOB = 70°. Calculate the value of:

  1. ∠OCA,
  2. ∠OAC.

योग

उत्तर


Here, ∠AOB = 2∠OCA  ...(Angle at the center is double the angle at the circumference by the same chord)

`=>` ∠ACB =`70/2` = 35°

Now, OC = OA   ...(Radii of same circle)

`=>` ∠OCA = ∠OAC = 35°

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अध्याय 17: Circles - Exercise 17 (A) [पृष्ठ २५७]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 17 Circles
Exercise 17 (A) | Q 3 | पृष्ठ २५७

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