Table of contents | |
Circle | |
Terms Related to Circle | |
Interior and Exterior of Circle | |
Drawing a Circle with Compass | |
Examples |
Have you ever noticed the wheels of your bicycle, the round face of a clock, or a yummy pizza? All of these things have something in common—they are circles!
In this chapter, we will explore the magical world of circles. Get ready to have some fun while learning!
The fixed point in the centre of a circle is called its centre
6. Circumference
In this, we will see through a diagram about which points are interior and exterior point
It is clear that
Did You Know
Concentric circles are circles with the same centre but different radii.
Example 1: Find the diameter of a circle whose radius is 1.4 cm.
Note: The region enclosed between two concentric circles is called a ring.
Sol: Radius = 1.4 cm
Diameter of a circle = 2 × radius = 2 × 1.4 cm = 2.8 cm.
Example 2: Find the radius of a circle whose diameter is 6.8 cm.
Sol: Diameter = 6.8 cm
Radius = Diameter ÷ 2 = 6.8 cm ÷ 2 = 3.4 cm.
Example 3: Find the circumference of a circle whose radius is (a) 7 cm (b) 3.5 cm. [Take π = 22/7]
Sol: (a) Radius = 7 cm
Circumference of the circle = 2 × π × radius = 2 × 22/7 × 7 = 44 cm.
(b) Radius = 3.5 cm = 7/2 cm.
Circumference of the circle = 2 × π × radius
= 2 × 22/7 x 7/2 cm = 44/2 = 22 cm.
Example 4: The length of the diameter of a circle is 2.8 cm. Find the circumference of the circle.
Sol: Diameter = 2.8 cm = 28/10 .
Circumference of the circle = π × diameter = 22/7 x 28/10
= 22 x 4/10 = 88/10
= 8.8 cm.
58 videos|112 docs|40 tests
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1. What are the important terms related to a circle? |
2. How can we identify the interior and exterior of a circle? |
3. What steps should be followed to draw a circle with a compass? |
4. What is the difference between a chord and a tangent in a circle? |
5. Can you give examples of real-life objects that resemble a circle? |
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