Chapter 16. Angles in a Circle and Cyclic Quadrilateral NIOS Class 10 Mathematics Chapter-Wise Important Questions and Answers

Chapter 16. Angles in a Circle and Cyclic Quadrilateral | NIOS Class 10 Mathematics Important Questions, Fully Solved Answers, and Chapter-wise Exam Preparation Guide.

Chapter 16. ANGLES IN A CIRCLE AND CYCLIC QUADRILATERAL

Optional Questions and Answers for Algebraic Expressions and Polynomials [1 Mark]

CHECK YOUR PROGRESS 3.1

Short Questions and Answers for Algebraic Expressions and Polynomials [1 or 2 Marks]

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Long Questions and Answers for Algebraic Expressions and Polynomials [ 3 or 4 Mark]

CHECK YOUR PROGRESS 16.1

1. In Fig. 16.11, ADB is an arc of a circle with centre O, if ∠ ACB = 35° , find ∠ AOB.

Solution: Given, ∠ACB = 35°

We have,

∠AOB=2∠ACB

⇒∠AOB=2×35°=70° 

 

2. In Fig. 16.12, AOB is a diameter of a circle with centre O. Is ∠APB = ∠AQB = 90° ?.

Solution: Since, angles in the same segment of a circle are equal .

So, ∠APB = ∠AQB = 90°   [Angles in the same segment AB]

Yes , angle in a semi-circle is a right angle

 

3. In Fig. 16.13, PQR is an arc of a circle with centre O. If ∠PTR = 35° , find ∠ PSR.

Solution: Given, ∠PTR = 35°

Since, ∠PTR and ∠PSR are subtended by the same arc PQR at the remaining part of the circle .

So, ∠PTR = ∠PSR = 35° 

Therefore, ∠PSR = 35°  .

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Posted 1 month ago