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

ConceptArcs Corresponding to the Chord of a Circle

#### 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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