Mathematics Class 10 Chapter 9: Chord and Arcs of a Circle
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Chapter summary
Chapter 9 of Mathematics for Class 10 is called "Chord and Arcs of a Circle". It covers 10 learning outcomes of the Federal Board syllabus. You will learn to: solve problems by using the property of circle: One and only one circle can pass through three non- collinear points; solve problems by using the property of circle: A straight line, drawn from the centre of a circle to bisect a chord (which is not a diameter) is perp. Parhayi.com has 182 MCQs, 31 short questions and 12 long questions for this chapter.
Topics in this chapter
- Solve problems by using the property of circle: One and only one circle can pass through three non- collinear points
- Solve problems by using the property of circle: A straight line, drawn from the centre of a circle to bisect a chord (which is not a diameter) is perp
- Solve problems by using the property of circle: Perpendicular from the centre of a circle on a chord bisects it
- Solve problems by using the property of circle: If two chords of a circle are congruent then they will be equidistant from the centre
- Solve problems by using the property of circle: Two chords of a circle which are equidistant from the centre are congruent
- Solve problems by using the property of circle: If two arcs of a circle (or of congruent circles) are congruent then the corresponding chords are equa
- Solve problems by using the property of circle: If two chords of a circle (or of congruent circles) are equal, then their corresponding arcs (minor, m
- Solve problems by using the property of circle: Equal chords of a circle (or of congruent circles) subtend equal angles at the centre (at the correspo
- Solve problems by using the property of circle: If the angles subtended by two chords of a circle (or congruent circles) at the centre (corresponding
- Apply concepts of chords and arcs of a circle to real life world problems (such as decorative features, rainbow, bridges, roller coaster track)
Sample questions
Try these questions from the chapter. The answers are for Premium students.
- In a circle of radius 13 cm, a chord is 10 cm away from the centre. Find the length of the chord. (4 marks)
- Calculate the length of the chord AC that stands at a distance of 5 cm from the centre of a circle whose diameter is 18 cm. (4 marks)
- Chords \(AB\) and \(CD\) of a circle are congruent. Their distances from the centre are \((x+2)\) cm and \((2x-1)\) cm. Find \(x\) and the distance of each chord from the centre. (3 marks)
What Premium gives you in this chapter
- 182 MCQs with answers and explanations
- 31 short questions with full answers
- 12 long questions with answers
- 11 Learn cards
- 9 Activities and games
- chapter tests that show your weak topics
Mathematics grows step by step. Read the rule, study one worked example, then solve similar questions yourself and check every step.
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