Class 10 Maths - KERALA
Areas Related to Circles
The chapter Areas Related to Circles in Class 10 Mathematics builds upon your previous knowledge of circles and basic geometry. It introduces you to calculating the perimeter and area of a circle, and further extends these ideas to find the areas of specific parts of a circle, such as sectors and segments. You will also learn how to calculate the areas of figures formed by combining circles with triangles, squares, or rectangles. This chapter is very important for the Kerala SCERT board exams as it tests your application and visualization skills through interesting word problems and geometric proofs.
Start Learning FreeKey Concepts
Circumference and Area of a Circle
The distance around the circle is its circumference (2πr) and the space enclosed inside is its area (πr²), where r is the radius.
Sector of a Circle
A region enclosed by two radii and the corresponding arc is called a sector. Its area depends on the angle (θ) subtended at the centre.
Segment of a Circle
A region enclosed by a chord and the corresponding arc is a segment. It is classified into minor segment and major segment.
Area of Combined Figures
Many complex problems require you to find the area of a shaded region by adding or subtracting the areas of basic geometric shapes like circles, squares, and triangles.
Important Formulas
Board Exam Info
In the Kerala SCERT Class 10 Mathematics examination, this chapter typically carries around 5 to 8 marks. Questions usually include direct formula-based calculations for sectors, as well as 3 or 4-mark application-level questions involving finding the area of shaded regions in composite geometric figures.
Frequently Asked Questions
What value of pi (π) should I use in calculations?
Usually, use 22/7 unless a specific value like 3.14 is given in the question paper.
How do I find the area of a segment when the angle is 60 degrees?
For a 60-degree sector, the triangle formed is equilateral. Subtract the area of the equilateral triangle (root(3)/4 * side^2) from the area of the sector.
What is the difference between a sector and a segment?
A sector is bounded by two radii and an arc, whereas a segment is bounded by a chord and an arc.
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