Mathematics Class 9>Chapter 15 - Circles>EXERCISE>Q 8

MEDIUM

9th CBSE

IMPORTANT

Earn 100

Given an arc of a circle, complete the circle.

Important Questions on Circles

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IMPORTANT

Mathematics Class 9>Chapter 15 - Circles>EXERCISE>Q 9

Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points?

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Mathematics Class 9>Chapter 15 - Circles>EXERCISE>Q 10

Suppose you are given a circle. Give a construction to find its centre.

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IMPORTANT

Mathematics Class 9>Chapter 15 - Circles>EXERCISE>Q 11

The lengths of two parallel chords of a circle are

6 cm

and

8 cm

. If the smaller chord is at a distance of

4 cm

from the centre, what is the distance of the other chord from the centre?

HARD

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IMPORTANT

Mathematics Class 9>Chapter 15 - Circles>EXERCISE>Q 12

Two chords

A B, C D

of lengths

5 cm, 11 cm

respectively of a circle are parallel. If the distance between

A B

and

C D

is

3 cm

and the radius of the circle is

\frac{\sqrt{k}}{2} cm

, then find the value of

k

.

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Mathematics Class 9>Chapter 15 - Circles>EXERCISE>Q 13

Prove that the line joining the midpoint of a chord to the centre of the circle passes through the mid-point of the corresponding minor arc.

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Mathematics Class 9>Chapter 15 - Circles>EXERCISE>Q 14

Prove that two different circles cannot intersect each other at more than two points.

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Mathematics Class 9>Chapter 15 - Circles>EXERCISE>Q 15

Two chords $A B$ and $C D$ of lengths $5 cm$ and $11 cm$ respectively of a circle are parallel to each other and are opposite side of its centre. If the distance between $A B$ and $C D$ is $6 cm,$ if the radius of the circle is $\frac{k \sqrt{k}}{2} cm$ , then find the value of $k$ .

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IMPORTANT

Mathematics Class 9>Chapter 15 - Circles>EXERCISE>Q 1

Three girls Ishita, Isha and Nisha are playing a game by standing on a circle of radius

20 m

drawn in a park. Ishita throws a ball to Isha, Isha to Nisha and Nisha to Ishita. If the distance between Ishita and Isha and between Isha and Nisha is