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The Chords Corresponding to Congruent Arcs Are Congruent

In the given ...

Question

In the given figure, chords $A B$ and $C D$ are equidistant from the centre $O$ . If the length of $A B = 20 c m$ , find the length of the chord $C D$ .

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A B

C D

are two chords equidistant from the centre

O

O P

⊥

draw from centre

O

A B

C D = 6 c m

P B

Q. In the figure given,

O

is the centre of the circle.

A B

C D

are two chords of the circle.

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is perpendicular to

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O N

is perpendicular to

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A B = 24 c m, O N = 5 c m, O M = 12 c m

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Q. In the figure at right, AB and CD are two parallel chords of a circle with centre O and radius $$5 cm. Such that AB =

8

6

O P ⊥ A B

O Q ⊥ C D

determine the length PQ.

Q. In the given figure,

O

is the centre of the circle.

A B

C D

are two chords of the circle.

O M

is perpendicular to

A B

O N

is perpendicular to

C D

A B = 24 c m, O M = 5 c m, O N = 12 c m

. Find the:
(i) radius of the circle.
(ii) length of chord

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.

Q. In the given figure,

O

is the centre of a circle of radius 5 cm. If the chords

A B

C D

have a length of 6 cm, then their distances from the centre are ____ and ____, respectively.

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The Chords Corresponding to Congruent Arcs Are Congruent

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