## Geometry Chapter 3 Geometrical Box Its Instruments And Their Uses

**Question 1. Draw a line segment of length 2.8 cm. using a ruler or a scale.**

** Solution:**

**Given:**

length 2.8 cm.

** Construction**: Here we have to draw a line segment of length equal to AB = 2.8 cm.

1. Place the ruler or scale graduated with centimeters on the plane of the paper where the line segment (of length 2.8 cm) is to be drawn.

Hold the ruler with the left hand and take a pencil with the right hand.

2. Put a point A on the paper at the 0 mark of the scale and another point B at the 2-8 mark of the scale (or ruler). ,

3. Join points A and B with the help of the pencil and scale.

Then the line segment AB— = 2-8 cm is constructed.

**WBBSE Solutions For Class 6 Maths**

**Simplification Maths Class 6**

**Question 2. Draw a line segment of length 2.6 cm using a pair of dividers.**

**Solution:**

**Given: 2.6 cm**

**Construction:** We have to draw a line segment of length 2.6 cm.

1. At first place one of the needle points of the dividers on the 0 markings on the ruler and the other needlepoint of the dividers is drawn apart in such a way that it reaches up to the 6th small marking beyond the 2 bold markings.

**Simplification Maths Class 6**

2. lift the dividers without disturbing the distance between the needles mark two points by pressing the dividers on the paper.

3. Join these two points with the ruler and pencil to draw the required line segment of length 2-6 cm.

4. Give the name of the line segment PQ.

Thus PQ— = 2.6 cm.

**Question 3. Draw a circle of radius 2 cm. Using a pencil compass and scale.**

**Solution:**

**Given:**

2 cm

** Construction**: We have to draw a circle of radius 2 cm. We follow the following steps

First, we draw a line segment AB of length 2 cm using a ruler (or a scale) and pencil.

2. Mark a point O on the plane of the paper. Place the needlepoint of the pencil compass at A and keep the tip of the pencil lying on the other leg of the compass such that it falls on B. Thus at this stage, the distance between the ends of the legs is equal to the length AB = 2 cm.

3. Now remove the compass from the line segment AB. Without disturbing the distance between the ends of the legs, place the needle point of the compass at O and keep it fixed at O.

4. Turn the compasses i.e., rotate the .tip of the pencil on the plane of the paper between the fourth finger and thumbs so as to draw a closed curve line.

5. The region enclosed by the curve obtained is the circle and the curve itself is the circumference of the circle. Thus the circle of radius 2 cm. is drawn.

**Simplification Questions For Class 6**

**Question 4. Measure the following angle ZAOB with the help of a protractor.**

**Solution:**

Here we have to measure the given angle ZAOB. We follow the following steps:

1. First, we extend the arms of the angle ZAOB, OA to C, and OB to D such that if we place the protractor on the angle, the ends of the arms OC (along OA) and OD (along OB) lie outside the protractor.

2. Now the protractor is placed on the angle ZAOB such that the center of the protractor falls on O and the 0°—180° line of the protractor coincides with the line OB.

We see that the arm OC (along OA) falls along the mark of 60 ° on the circumference of the protractor.

From the lilac figure, we see that ∠AOB measures the angle of 60°

∴ ∠AOB = 60°.

∠AOB measures the angle of 60°

**Class 6 Math Solution WBBSE**

**Question 5. Draw the angle 82° with the help of a protractor.**

**Solution:**

**Given: 82°**

** Construction**: Here we have to draw the angle 82° with the help of the Motractor.

**We perform the following steps:**

First, draw a straight line \(\stackrel{\leftrightarrow}{\mathrm{AB}}\) on the plane of the paper.

Mark a point O on \(\stackrel{\leftrightarrow}{\mathrm{AB}}\)

2. Now place the protractor on the straight line AB such that the center C of the protractor falls on O and the baseline

i.e., the 0°- 180° line coincides with \(\stackrel{\leftrightarrow}{\mathrm{AB}}\).

The semi-circular portion of the protractor lies above \(\stackrel{\leftrightarrow}{\mathrm{AB}}\).

3. Mark a point P on the paper against the mark 82° (80° and 2 small markings Tier it) on the protractor starting from 0° lies on AB and proceeding in the anticlockwise direction.

4. Now remove the protractor and join the point P with O by scale and pencil,

5. The angle ∠BOP = 82° is drawn.