Mathematics

In the given figure, O is the centre of the circle.
If ∠PQR = 35°, then ∠POR is equal to :

  1. 17.5°

  2. 35°

  3. 60°

  4. 70°

In the given figure, O is the centre of the circle. Loci, RSA Mathematics Solutions ICSE Class 10.

Circles

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Answer

We know that,

The angle which an arc subtends at the center is double that which it subtends at any point on the remaining part of the circumference.

∴ ∠POR = 2∠PQR = 2 × 35° = 70°.

Hence, option 4 is the correct option.

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