SSC (English Medium) Class 8Maharashtra State Board
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The Diameters Pq and Rs of the Circle with Centre C Are Perpendicular to Each Other at C. - SSC (English Medium) Class 8 - Mathematics

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Question

The diameters PQ and RS of the circle with centre C are perpendicular to each other at C. state, why arc PS and arc SQ are congruent. Write the other arcs which are congruent to arc PS.

Solution

PQ perpendicular to RS.

∠PCS = ∠PCQ = 90°

⇒ arc (PS) = arc (QS)

We know that if the measures of two arcs of circle are same then two arcs are congruent

⇒ arc (PS) ≅ arc (QS)

Similarly, 

⇒ arc (PS) ≅ arc (PR) ≅ arc (RQ)

  Is there an error in this question or solution?

APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 17: Circle : Chord and Arc
Practice Set 17.2 | Q: 1 | Page no. 118
Solution The Diameters Pq and Rs of the Circle with Centre C Are Perpendicular to Each Other at C. Concept: Arcs Corresponding to the Chord of a Circle.
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