Area of Sector Formula Class 10
The concept of a circle involves a proper understanding of radius, diameter, chord, arc, segment, sector. If for some reason these terms are not clear then students may face difficulties in grasping the area of sector formula class 10. Hence, this article aims at providing a quick reference to the relevant concepts and formulas related to the area of sector formula class 10.
List of Area of Sector Formula Class 10
- The part of the circular region enclosed by two radii and the arc is known as the sector of the circle, while the part of the circular region enclosed by a chord and the corresponding arc is known as the segment of the circle.
- A sector’s length of arc of a circle with radius ‘r’ and angle θ is ( θ/360) x 2 π r
- The area of the sector of a circle with radius ‘r’ and θ angle = ( θ/360) x π r 2
- Area of the segment of a circle = Area of the sector – Area of the triangle.
Applications of Area of Sector Formula Class 10
The applications of the area of sector formula can be seen in several fields. Some of the main applications of area of sector formula class 10 are given below:
- In engineering and architecture, where abstract formations need to be constructed the area of sector formula can be used to find out the necessary parameters.
- In astronomy, the area of sector formula helps scientists figure out several insights regarding the planets as they are all circular in shape.
Area of Sector Formula Class 10 Examples
Example 1: Find the area of the sector of a circle with radius 3 cm and of angle 20°.
Solution: Area of the sector = (θ/360°) π r2 =( 20/360 ) x 3.14 x 3 x 3 = 1.57°
Example 2: A lighthouse casts a red-colored light over a sector of angle 70° to a distance of 20 km to warn sailors of undersea rocks. Find the area of the sea where ships are being told to avoid.
Solution: Area of the sector = (θ/360°) π r2 = (70/360) x 3.14 x 20 x 20 = 244.22 km2
Tips to Memorize Area of Sector Formula Class 10
Below-mentioned are some of the tips that students should pay attention to while memorizing the area of sector formula class 10 easily:
- Writing down the formulas and practicing problems based on them is the best way to remember them. Students are advised to try recalling these formulas at frequent breaks so as to assess their learning.
- Taking frequent self-assessment tests randomly will help students know which concept or formula they are lagging in so that they can revise upon it further.
- Students are advised to learn one concept and its relevant formula at a time, along with enough practice on its examples. They can also then use the formula wallpaper on their mobiles so as to revise it consistently during breaks till they get thorough in remembering it.
Students can download the printable Maths Formulas Class 10 sheet from below.
FAQs on Area of Sector Formula Class 10
What are the Important Formulas Covered Under Area of Sector Formula Class 10?
The important Area of Sector Formula Class 10 are:
- Circumference of a circle = 2 π r
- Area of a circle = π r 2
- 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 r 2
What are the Basic Formulas in Area of Sector Formula Class 10?
The basic formulas in Area of Sector Formula Class 10 are for calculating the area of a sector and a segment. It is necessary to grasp concepts connected to circles, such as radius, diameter, chord, segment, and so on, in order to understand these calculations.
Why is it Important to Solve Problems Based on the Area of Sector Formula Class 10?
Solving problems based on the area of sector formula will help students understand the application of area of sector formulas in various scenarios. A thorough revision of these formulas will enable students to perform well during exams.
How Many Formulas are there in Area of Sector Formula Class 10?
There are two main formulas related to Area of Sector Formula Class 10 as listed in this article. Students should refer to the solved examples in this article as it will help them understand how these formulas are used in solving problems involving various dimensions of a circle.
How can I Memorize Area of Sector Formula Class 10?
To memorize the Area of Sector Formula Class 10 students will find the following tips helpful:
- The best approach to recall formulas is to write them down and practice problems based on them. To measure their learning, students should try recalling these formulas throughout periodic breaks.
- Taking frequent self-assessment quizzes at random will assist students to figure out which formula they are struggling with so that they can go over it again.
- It is recommended that students study one formula at a time, with adequate practice on the examples. They can also utilize their mobile for revision by saving the formula sheet as wallpaper on it.