Constructing a Circle

Q. The geometrical instrument used to draw a circle is called a ____________ .

1. compass
2. scale
3. divider
4. protractor

Q.

Who invented circles?

Q. We can draw a circle with a compass, if we know the _______________ .

1. center of the circle
2. radius of the circle
3. circumference of the circle
4. shape of the circle

Q. Arrange the following steps for constructing a circle in the correct order.
A. Place the compass on the marked centre and slowly rotate it to draw a circle.
B. Widen the compass to the required radius.
C. Keep the length between the arms of the compass fixed and mark a centre 'O'.

1. B - C - A
2. C - A - B
3. C - B - A
4. A - B - C

Q. What should be the distance between the compass needle and the pencil tip to construct a circle of radius 6 cm?

1. 12 cm
2. 6 cm
3. 3 cm
4. 18 cm

Q.

How many sectors of ${60}^{\circ }$ can be made in a circle, if no two sectors overlap?

1. 5

2. 6

3. 10

4. 4

Q. Which of the following needs to be taken care while drawing a circle?

1. Avoid displacing the tip of the compass.
   
2. Use a costly compass.

3. Keep the screw of the compass tight.

4. Keep the screw of the compass loose.

Q.

With the same centre O, draw two circles of radii 4 cm and 2.5 cm.

Q.

A circle is divided into three sectors. Two of them have angles of ${120}^{\circ }$ and ${75}^{\circ }$respectively. What will be the angle of the third sector?

1. ${265}^{\circ }$

2. ${160}^{\circ }$

3. ${180}^{\circ }$

4. ${165}^{\circ }$

Q. Which of the following circles could have been drawn using the compass shown here with out changing the measurement?

1. 
2. 
3. 
4. None

Q. We can draw a circle with a compass if we know the length of its radius.

1. True
2. False

Q. Which of these instruments is used to draw a circle?

1. Compass
2. Protractor
3. Scale
4. Set square

Q.

The perimeter of a semi-circle is ____.

1. Half of Diameter

2. Half of Radius

3. Half of Circumference

4. Twice of Circumference

Q. Which of the following highlighted parts represents the boundary of the given circle?

1. Green
2. Red
3. Yellow
4. Blue

Q.

Draw a circle of radius 3.2 cm.