Circle Dividing a Plane

Q.

In how many parts a circle divides a plane?

1. $2$

2. $3$

3. $4$

4. $5$

Q. Question 1 (ii)
Fill in the blanks:

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

Q.

Centre of a circle lies in ____ of the circle.

1. interior

2. exterior

3. cannot be determined

4. circumference

Q. Write true or false: Give reasons for your answers.
(1) Line segment joining the centre to any point on the circle is a radius of the circle.
(2) A circle has only finite number of equal chords.
(3) If a circle is divided into three equal arcs, each is a major arc.
(4) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
(5) Sector is the region between the chord and its corresponding arc.
(6) A circle is a plane figure.

Q.
The centre of the circle lies ______

1. in the interior of the circle
2. in the exterior of the circle
3. on the circle

Q. In the given figure, if AB = OA then $\angle AOB={60}^{\circ }$.

1. True
2. False

Q.

Where is the equation of circle used?give examples