Draw any circle and mark: its center ,a radius , a diameter , a sector , a segment , a point in its interior, a point in its exterior and an arc.

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Solution

Identify the required data:
A circle is a two-dimensional object made up of points that are spaced out from a given point (center) in the plane at a fixed or constant distance (radius).
Step-1: The circle's center is at $O$ .
Step-2:The circle's radius is $O C$ .
Step-3: The circle's diameter is $A B$ .
Step-4: One of circle's sectors is $O A C$ .
Step-5: One of the circle's segment is $D A C B E$ .
Step-6: A point located inside the circle is $O$ .
Step-7: A point located outside the circle is $F$ .
Step-8: The circle's arc is $\overset{⏜}{A C}$ .
Hence the required data is identified.

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Question 3(f):

Draw any circle and mark:

a point in its interior

Question 1:

Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its interior?

Q. Fill in the blanks:
(1) The centre of a circle lies in ___________ of the circle (exterior/interior)
(2) A point whose distance from the centre of a circle is greater than its radius lies in ___________ of the circle
(3) The longest chord of a circle is a ____________ of the circle.
(4) An arc is a ____________ when its ends are the ends of a diameter.
(5) Segment of a circle is the region between an arc and __________ of the circle.
(6) A circle divides the plane, on which it lies in ______________ parts.

Fill in the blanks

(i) The centre of a circle lies in __________ of the circle. (exterior/ interior)

(ii) A point, whose distance from the centre of a circle is greater than its radius lies in __________ of the circle. (exterior/ interior)

(iii) The longest chord of a circle is a __________ of the circle.

(iv) An arc is a __________ when its ends are the ends of a diameter.

(v) Segment of a circle is the region between an arc and __________ of the circle.

(vi) A circle divides the plane, on which it lies, in __________ parts.

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.

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