##### Class 8^{th} Mathematics Term 3 Tamilnadu Board Solution

**Exercise 4.1**- 4 cm and 6 cm. Draw concentric circles for the following measurements of radii.…
- 3.5 cm and 5.5 cm. Draw concentric circles for the following measurements of…
- 4.2 cm and 6.8 cm. Draw concentric circles for the following measurements of…
- 5 cm and 6.5 cm. Draw concentric circles for the following measurements of…
- 6.2 cm and 8.1 cm. Draw concentric circles for the following measurements of…
- 5.3 cm and 7 cm. Draw concentric circles for the following measurements of…

**Exercise 4.1**

- 4 cm and 6 cm. Draw concentric circles for the following measurements of radii.…
- 3.5 cm and 5.5 cm. Draw concentric circles for the following measurements of…
- 4.2 cm and 6.8 cm. Draw concentric circles for the following measurements of…
- 5 cm and 6.5 cm. Draw concentric circles for the following measurements of…
- 6.2 cm and 8.1 cm. Draw concentric circles for the following measurements of…
- 5.3 cm and 7 cm. Draw concentric circles for the following measurements of…

###### Exercise 4.1

**Question 1.**Draw concentric circles for the following measurements of radii. Find out the width of each circular ring.

4 cm and 6 cm.

**Answer:**4cm and 6cm

Steps of construction:

Step 1: Draw a rough image and mark the given measurement.

Step 2: Take any point O and mark its as centre.

Step 3: With O as centre, draw a circle of radius OA = 4cm.

Step 4: With O as centre, draw a circle of radius OB = 6cm.

Thus, the concentric circle C_{1} and C_{2} are drawn.

Width of the circular ring = OB – OA

= 6 – 4

= 2cm

**Question 2.**Draw concentric circles for the following measurements of radii. Find out the width of each circular ring.

3.5 cm and 5.5 cm.

**Answer:**3.5 cm and 5.5 cm

__Steps of construction:__

Step 1: Draw a rough image and mark the given measurement.

Step 2: Take any point O and mark it’s as centre.

Step 3: With O as centre, draw a circle of radius OA = 3.5 cm.

Step 4: With O as centre, draw a circle of radius OB = 5.5 cm.

Thus, the concentric circle C1 and C2 are drawn.

Width of the circular ring = OB – OA

= 5.5 – 3.5

= 2cm

**Question 3.**Draw concentric circles for the following measurements of radii. Find out the width of each circular ring.

4.2 cm and 6.8 cm.

**Answer:**4.2 cm and 6.8 cm

__Steps of construction:__

Step 1: Draw a rough image and mark the given measurement.

Step 2: Take any point O and mark it’s as centre.

Step 3: With O as centre, draw a circle of radius OA = 4.2 cm.

Step 4: With O as centre, draw a circle of radius OA = 6.8 cm.

Thus, the concentric circle C1 and C2 are drawn.

Width of the circular ring = OB – OA

= 6.8 – 4.2

= 2.6 cm

**Question 4.**Draw concentric circles for the following measurements of radii. Find out the width of each circular ring.

5 cm and 6.5 cm.

**Answer:**5cm and 6.5cm

__Steps of construction:__

Step 1: Draw a rough image and mark the given measurement.

Step 2: Take any point O and mark it’s as centre.

Step 3: With O as centre, draw a circle of radius OA = 5cm.

Step 4: With O as centre, draw a circle of radius OA = 6.5cm.

Thus, the concentric circle C_{1} and C_{2} are drawn.

Width of the circular ring = OB – OA

= 6.5 – 5

= 1.5 cm

**Question 5.**Draw concentric circles for the following measurements of radii. Find out the width of each circular ring.

6.2 cm and 8.1 cm.

**Answer:**6.2 cm and 8.1 cm

__Steps of construction:__

Step 1: Draw a rough image and mark the given measurement.

Step 2: Take any point O and mark it’s as centre.

Step 3: With O as centre, draw a circle of radius OA = 6.2cm.

Step 4: With O as centre, draw a circle of radius OA = 8.1cm.

Thus, the concentric circle C_{1} and C_{2} are drawn.

Width of the circular ring = OB – OA

= 8.1 – 6.2

= 1.9

**Question 6.**Draw concentric circles for the following measurements of radii. Find out the width of each circular ring.

5.3 cm and 7 cm.

**Answer:**5.3 cm and 7cm

__Steps of construction:__

Step 1: Draw a rough image and mark the given measurement.

Step 2: Take any point O and mark it’s as centre.

Step 3: With O as centre, draw a circle of radius OA = 5.3cm.

Step 4: With O as centre, draw a circle of radius OA = 7cm.

Thus, the concentric circle C_{1} and C_{2} are drawn.

Width of the circular ring = OB – OA

= 7 – 5.3

= 1.7 cm

**Question 1.**

Draw concentric circles for the following measurements of radii. Find out the width of each circular ring.

4 cm and 6 cm.

**Answer:**

4cm and 6cm

Steps of construction:

Step 1: Draw a rough image and mark the given measurement.

Step 2: Take any point O and mark its as centre.

Step 3: With O as centre, draw a circle of radius OA = 4cm.

Step 4: With O as centre, draw a circle of radius OB = 6cm.

Thus, the concentric circle C_{1} and C_{2} are drawn.

Width of the circular ring = OB – OA

= 6 – 4

= 2cm

**Question 2.**

Draw concentric circles for the following measurements of radii. Find out the width of each circular ring.

3.5 cm and 5.5 cm.

**Answer:**

3.5 cm and 5.5 cm

__Steps of construction:__

Step 1: Draw a rough image and mark the given measurement.

Step 2: Take any point O and mark it’s as centre.

Step 3: With O as centre, draw a circle of radius OA = 3.5 cm.

Step 4: With O as centre, draw a circle of radius OB = 5.5 cm.

Thus, the concentric circle C1 and C2 are drawn.

Width of the circular ring = OB – OA

= 5.5 – 3.5

= 2cm

**Question 3.**

Draw concentric circles for the following measurements of radii. Find out the width of each circular ring.

4.2 cm and 6.8 cm.

**Answer:**

4.2 cm and 6.8 cm

__Steps of construction:__

Step 1: Draw a rough image and mark the given measurement.

Step 2: Take any point O and mark it’s as centre.

Step 3: With O as centre, draw a circle of radius OA = 4.2 cm.

Step 4: With O as centre, draw a circle of radius OA = 6.8 cm.

Thus, the concentric circle C1 and C2 are drawn.

Width of the circular ring = OB – OA

= 6.8 – 4.2

= 2.6 cm

**Question 4.**

Draw concentric circles for the following measurements of radii. Find out the width of each circular ring.

5 cm and 6.5 cm.

**Answer:**

5cm and 6.5cm

__Steps of construction:__

Step 1: Draw a rough image and mark the given measurement.

Step 2: Take any point O and mark it’s as centre.

Step 3: With O as centre, draw a circle of radius OA = 5cm.

Step 4: With O as centre, draw a circle of radius OA = 6.5cm.

Thus, the concentric circle C_{1} and C_{2} are drawn.

Width of the circular ring = OB – OA

= 6.5 – 5

= 1.5 cm

**Question 5.**

Draw concentric circles for the following measurements of radii. Find out the width of each circular ring.

6.2 cm and 8.1 cm.

**Answer:**

6.2 cm and 8.1 cm

__Steps of construction:__

Step 1: Draw a rough image and mark the given measurement.

Step 2: Take any point O and mark it’s as centre.

Step 3: With O as centre, draw a circle of radius OA = 6.2cm.

Step 4: With O as centre, draw a circle of radius OA = 8.1cm.

Thus, the concentric circle C_{1} and C_{2} are drawn.

Width of the circular ring = OB – OA

= 8.1 – 6.2

= 1.9

**Question 6.**

Draw concentric circles for the following measurements of radii. Find out the width of each circular ring.

5.3 cm and 7 cm.

**Answer:**

5.3 cm and 7cm

__Steps of construction:__

Step 1: Draw a rough image and mark the given measurement.

Step 2: Take any point O and mark it’s as centre.

Step 3: With O as centre, draw a circle of radius OA = 5.3cm.

Step 4: With O as centre, draw a circle of radius OA = 7cm.

Thus, the concentric circle C_{1} and C_{2} are drawn.

Width of the circular ring = OB – OA

= 7 – 5.3

= 1.7 cm