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CBSE - Class 9 > Mathematics > Circles Worksheets

Free CBSE - Class 9 Mathematics - Circles worksheets

Sample Worksheets

Here is a Sample Worksheet for you to Practice. Download this worksheet to see the answers.

1.
If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side.
2.
$ABC$ and $ADC$ are two right triangles with common hypotenuse $AC$. Prove that $\angle CAD = \angle CBD$.
3.
Prove that a cyclic parallelogram is a rectangle.
4.
Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.
5.
Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.
6.
Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.
7.
If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of the other chord.
8.
If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.
9.

If a line intersects two concentric circles (circles with the same centre) with centre $O$ at $A$, $B$, $C$ and $D$, prove that $AB = CD$ (see Fig. 9.12).

10.
Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5m drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. If the distance between Reshma and Salma and between Salma and Mandip is 6m each, what is the distance between Reshma and Mandip?
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Chapters in CBSE - Class 9 Mathematics

Areas of Parallelograms and Triangles Worksheet Constructions Worksheet Coordinate Geometry Worksheet Heron’s Formula Worksheet Introduction to Euclid’s Geometry Worksheet Linear Equations in Two Variables Worksheet Lines and Angles Worksheet Number Systems Worksheet Polynomials Worksheet Probability Worksheet Quadrilaterals Worksheet Statistics Worksheet Surface Area and Volumes Worksheet Triangles Worksheet

Free Circles Worksheets

Our worksheets are designed to help students explore various topics, practice skills and enrich their subject knowledge, to improve their academic performance. Designed by experts who have extensive experience and expertise in teaching a subject, these worksheets will improve your child's problem-solving skills and subject knowledge in a fun and interactive manner.

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