Area Related To Circle Class 10 Formulas
Students may face a lot of problems in recollecting the area related to circle class 10 formulas if the basic concepts are not clear. Thus, it is important for students to have a deep understanding of all the terms used in these formulas like sector, arc, radius, circumference and others. To help students understand and learn these formulas, this article provides a list of important areas related to circle class 10 formulas along with relevant examples and their applications.
List of Area Related To Circle Class 10 Formulas
Students can refer to the list of important area related to circle class 10 formulas provided below:
- Circumference of a circle = 2 π r
- Area of a circle = π r2
- Arc length of sector of circle with radius r and angle θ is ( θ/360) x 2 π r
- The area of sector of a circle with radius ‘r’ and θ angle = ( θ/360) x π r2
- Area of segment of a circle = Area of the sector - Area of the triangle.
Applications of Area Related To Circle Class 10 Formulas
Applications of area related to Circle class 10 formulas can be found in various scenarios of everyday life. Some of these are explained below:
- Geometry is widely used in engineering and architecture, therefore the knowledge of area related to circle class 10 formulas help us in solving significant practical problems.
- Use of area related to circle class 10 formulas can be seen in sports too. These formulas help in figuring out the various aspects of the game like football, cricket and others.
Area Related To Circle Class 10 Formulas Examples
Example 1: The cost of fencing a circular garden at the rate of 12 per meter is 4000 INR. The garden is to be fenced at the rate of 0.40 per m2. Find the cost of fencing the garden.
Solution: Length of the garden (in metres) = Cost/Rate = 4000/12 = 333.33
Circumference of the garden = 333.33
If ‘r’ meter is the radius of the garden, then 2 π r = 333.33
r = 53.07 metres
Thus, Area of the garden = π r2 = 3.14 x (53.07)2
Cost of fencing 1 meter square of garden = 0.40
Total cost of fencing the garden = 3.14 x (53.07)2 x 0.40 = 3537 INR
Example 2: The radii of two circles is 20 cm and 10 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.
Solution: Circumference of circle having radius 20 cm = 2 π r
= 2 x 3.14 x 20
= 125.60
Circumference of circle having radius 10 cm = 2 π r
= 2 x 3.14 x 10
= 62.8
We have to find the radius of circle which has circumference equal to the sum of the circumferences of the two circles
i.e., Let the radius of circle be R, then 2 π R = 125.60 + 62.8 = 188.40
R = 30 cm
Tips to Memorize Area Related To Circle Class 10 Formulas
Area related to circle class 10 formulas will be easy to memorize if students will follow the below-mentioned tips:
- Students should practice and understand steps in solving examples provided in their textbooks to clarify their doubts. This will also help them to understand the process of problem-solving.
- As it is easy to process the written information writing down the important concepts and formulas will benefit students in recalling them easily.
- Students can also save the formula wallpapers on their mobile phones to revise them throughout the day.
Students can download the printable Maths Formulas Class 10 sheet from below.
FAQs on Area Related to Circles Class 10 Formulas
What Important Formulas are Covered Under Area Related to Circle Class 10 Formulas?
The important formulas covered under area related to circle class 10 formulas are:
- Circumference of a circle = 2 π r
- Area of a circle = π r2
- Length of an arc of a sector of a circle with radius r and angle with degree measure θ is ( θ/360) x 2 π r
- Area of a sector of a circle with radius r and angle with degree measure ( θ/360) x π r2
What are the Basic Formulas in Area Related to Circle Class 10 Formulas?
The basic formulas in area related to circle class 10 formulas are related to finding the area and circumference of the circle, and also the area of sector and segment of the circle. To understand these formulas it is essential to have clarity on terms related to circles like radius, diameter, chord, segment etc.
Why is it Important to Solve Problems based on Area Related to Circle class 10 formulas?
Solving problems based on Area Related To Circle Class 10 Formulas will help students to understand how to find the area as well perimeter of a circle and sector. Practicing these problems will also enable students to calculate important parameters in daily life as they have their usage in many different practical scenarios like in architecture and engineering.
How Many Formulas are There in Area Related to Circle Class 10 Formulas?
There are majorly five area related to circle class 10 formulas as listed in the first half of this article. Students are advised to practice the solved examples first in their textbook as those will help them get clarity on how these formulas are helpful in solving the problems related to calculations of area and perimeter of different parts of a circle.
How can I memorize Area Related To Circle Class 10 Formulas?
To memorize the area related to circle class 10 formulas students will find the following tips as elaborated in this article quite helpful:
- Students should complete all of the solved problems in their textbooks because this will clear up their doubts if any while also introducing them to the usage of formulas in different contexts.
- Writing down significant concepts and formulas will help in the long run because the brain processes written knowledge better.
- Students can also download the formula wallpapers on their phones. This will give them a chance to revise these formulas at a glance whenever they use their mobiles.