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Circles

Points A, B, ...

Question

Points A, B, C, D are on a circle with centre P write the names of any three radii and any three chords of the circle.

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Solution

The three radii of the circle are PA, PC and PD.
And the three chords of the circle are AB, AD and CD.

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Similar questions

Q. In the following figure, points

A, B, C, D

are on the circle and point

O

is the center of the circle. Write the name of any two chords.

A, B, C

are three points on a circle such that

A B

is the chord and

C P

is the perpendicular to

O P

O

is the centre and

P

is any point on

A B

r

of the circle is given by

Q. Fill in the blanks:
(i) A diameter of a circle is a chord that .......... the centre.
(ii) A radius of a circle is a line segment with one end point ........... and the other end point ...... .
(iii) If we join any two points of a circle by a line segment, we obtain a ........... of the circle.
(iv) Any part of a circle is called an ........... of the circle.
(v) The figure bounded by an arc and the two radii joining the end points of the arc with the centre is called a ........... of the circle.

Write True or False: Give reasons for your answers.

(i) Line segment joining the centre to any point on the circle is a radius of the circle.

(ii) A circle has only finite number of equal chords.

(iii) If a circle is divided into three equal arcs, each is a major arc.

(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.

(v) Sector is the region between the chord and its corresponding arc.

(vi) A circle is a plane figure.

Q. AB is the longest chord of a circle with centre O. P is any point on the circumference of the circle, not coinciding with A or B. Find

∠ A P B

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