Circle
Maharashtra Board · Class 9 · Mathematics
Flashcards for Circle — Maharashtra Board Class 9 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
What is a circle? Define it as a set of points.
Answer
A circle is the set of all points in a plane which are equidistant from a fixed point in the plane. The fixed point is called the centre of the circle.
What is a radius of a circle?
Answer
A radius is the segment joining the centre of the circle and any point on the circle. The distance from the centre to any point on the circle is also called the radius.
What is a chord of a circle?
Answer
A chord is a segment joining any two points on the circle. A diameter is a special chord that passes through the centre and is the largest chord of the circle.
State the theorem about the perpendicular from centre to chord.
Answer
The segment joining the centre of a circle and the midpoint of its chord is perpendicular to the chord. In other words, the perpendicular from the centre to a chord bisects the chord.
What are congruent chords?
Answer
Congruent chords are chords that have equal lengths. In the same circle or congruent circles, chords of equal length are called congruent chords.
State the theorem relating congruent chords and their distances from centre.
Answer
Congruent chords of a circle are equidistant from the centre of the circle. This means if two chords are equal in length, then their perpendicular distances from the centre are also equal.
State the converse theorem about chords equidistant from centre.
Answer
The chords of a circle that are equidistant from the centre are congruent. This means if two chords have equal perpendicular distances from the centre, then the chords are equal in length.
What is the incircle of a triangle?
Answer
The incircle of a triangle is the circle that touches all three sides of the triangle from inside. It is drawn with centre at the incenter (intersection of angle bisectors) and radius equal to the per
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Circle covers several key topics that are frequently asked in Maharashtra Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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