Class 5 - Circles - Complete Learning Guide

Circles are some of the most important shapes in geometry. In this lesson we teach class 5 students basics of circles, parts of circles and fun worksheets.

Table of Contents

• What is a Circle?
• Related to Circles
• Circle Formulas
• Solved Examples on Circles
• Practice Questions on Circles for Class 5
• Circles Worksheet for Class 5

What is a Circle?

A circle is round shape. The distance from the center to all points of the circle is identical. A circle has no corners and has no sides. It is a perfect round thing, like a ring or a ball.

• Round Shape: The circle is smooth and curved all the way around

• Center Point: The middle point of the circle

• Equal Distance: Every point on the circle is the same distance from the center

• No Corners: A circle has no corners or sharp points

• Continuous Curve: The circle is one unbroken curved line

Related to Circles

Radius: The distance from the center of the circle to any point on the circle. All radii of a circle are equal.

Diameter: The distance across the circle through the center. The diameter is two times the radius.

Circumference: The distance around the circle. It is the perimeter of the circle.

Center: The middle point of the circle.

Arc: A part of the circle's curve.

Chord: A straight line that joins two points on the circle.

Circle Formulas

Formula	Meaning
Diameter = 2 × Radius	D = 2r
Radius = Diameter ÷ 2	r = D/2
Circumference = 2 × π × Radius	C = 2πr
Circumference = π × Diameter	C = πd
Area = π × Radius × Radius	A = πr²

Note: π (pi) is approximately 3.14 or 22/7

Solved Examples on Circles

Example 1: Understanding the Circle Definition

Question: What is a circle?

Solution: A circle is a round shape with no corners.

• It is smooth and curved all around

• All points on the circle are the same distance from the center

• A circle has one curved line

• It has no straight sides

Answer: A circle is a smooth, round shape where all points are at the same distance from the center point.

Example 2: Identifying Radius

Question: The radius of a circle is 5 cm. What is the radius?

Solution:

Radius = 5 cm

The radius is the distance from the center to the edge of the circle.

Answer: The radius of the circle is 5 cm.

Example 3: Finding Diameter from Radius

Question: A circle has a radius of 6 cm. What is the diameter of the circle?

Solution:

Given: Radius (r) = 6 cm

Formula: Diameter = 2 × Radius

Diameter = 2 × 6

Diameter = 12 cm

Answer: The diameter of the circle is 12 cm.

Example 4: Finding Radius from Diameter

Question: A circle has a diameter of 20 cm. What is the radius?

Solution:

Given: Diameter (D) = 20 cm

Formula: Radius = Diameter ÷ 2

Radius = 20 ÷ 2

Radius = 10 cm

Answer: The radius of the circle is 10 cm.

Example 5: Calculating Circumference

Question: Find the circumference of a circle with radius 7 cm. (Use π = 22/7)

Solution:

Given: Radius (r) = 7 cm, π = 22/7

Formula: Circumference = 2 × π × r

Circumference = 2 × 22/7 × 7

Circumference = 2 × 22 × 7/7

Circumference = 2 × 22

Circumference = 44 cm

Answer: The circumference of the circle is 44 cm.

Example 6: Circumference Using Diameter

Question: A circle has a diameter of 14 cm. Find the circumference. (Use π = 22/7)

Solution:

Given: Diameter (d) = 14 cm, π = 22/7

Formula: Circumference = π × d

Circumference = 22/7 × 14

Circumference = 22 × 14/7

Circumference = 22 × 2

Circumference = 44 cm

Answer: The circumference of the circle is 44 cm.

Example 7: Finding Area of a Circle

Question: Find the area of a circle with radius 5 cm. (Use π = 3.14)

Solution:

Given: Radius (r) = 5 cm, π = 3.14

Formula: Area = π × r × r

Area = 3.14 × 5 × 5

Area = 3.14 × 25

Area = 78.5 cm²

Answer: The area of the circle is 78.5 square cm.

Example 8: Parts of a Circle

Question: Name and explain the main parts of a circle.

Solution:

The main parts of a circle are:

• Center: The middle point of the circle

• Radius: The line from center to the edge (distance = r)

• Diameter: The line across the circle through the center (distance = 2r)

• Circumference: The distance around the circle

• Arc: A curved part of the circle

Answer: A circle has five main parts: center, radius, diameter, circumference, and arc.

Example 9: Real-World Circle Examples

Question: Give five examples of circles that we see in daily life.

Solution:

Common examples of circles in real life:

• Watch Face: The round face of a clock or watch

• Plate: A round dinner plate

• Wheel: The round wheel of a bicycle or car

• Sun: The round shape of the sun

• Ball: A round sports ball like a cricket ball or basketball

Answer: Common circles in daily life include clocks, plates, wheels, the sun, and balls.

Example 10: Comparing Circle Measurements

Question: Circle A has a radius of 3 cm and Circle B has a radius of 6 cm. Which circle is bigger? How many times bigger is Circle B?

Solution:

Circle A: Radius = 3 cm

Circle B: Radius = 6 cm

Comparison:

Radius of B ÷ Radius of A = 6 ÷ 3 = 2

This means Circle B's radius is 2 times bigger than Circle A's radius.

Therefore, Circle B is 2 times bigger than Circle A in terms of radius.

Answer: Circle B is bigger. Its radius is 2 times larger than Circle A's radius.

Practice Questions on Circles for Class 5

1: What is a circle?

(A) A shape with four straight sides

(B) A round shape with no corners

(C) A shape with three sides

(D) A shape with curved and straight sides

2: The distance from the center of a circle to its edge is called the:

(A) Diameter

(B) Circumference

(C) Radius

(D) Arc

3: If the radius of a circle is 8 cm, what is the diameter?

(A) 4 cm

(B) 8 cm

(C) 16 cm

(D) 32 cm

4: Which of the following is a circle?

(A) A square plate

(B) A round plate

(C) A rectangular table

(D) A triangular sign

5: The distance around the circle is called the:

(A) Radius

(B) Diameter

(C) Circumference

(D) Area

6: The radius is half of the diameter.

(A) True

(B) False

7: A circle has infinite corners.

(A) True

(B) False

8: The circumference is the distance across the circle.

(A) True

(B) False

9: If the radius of a circle is 6 cm, find the diameter.

10: Explain the difference between radius and diameter.

11: A circle has a radius of 7 cm. Find the circumference using π = 22/7.

12: Give two examples of circles you see in your classroom.

13: If you double the radius of a circle, what happens to the diameter?

Circles Worksheet for Class 5

Circles Worksheet Class 5 Easy

Circles Worksheet Class 5 Medium

Circles Worksheet Class 5 Hard