Class 10 Maths - BIHAR
Areas Related to Circles
The chapter 'Areas Related to Circles' in Class 10 Mathematics builds upon your previous knowledge of circles and perimeter. You will learn how to calculate the perimeter and area of circular regions, specifically focusing on sectors and segments of a circle. The chapter also teaches you how to find the areas of complex figures formed by combining circles with triangles, squares, and rectangles. This is a very scoring and important chapter for the Bihar Board (BSEB) matriculation examination, as it frequently features in both short-answer and long-answer question sections.
Start Learning FreeKey Concepts
Circumference and Area of a Circle
The boundary length of a circle is its circumference (2πr) and the space enclosed within it is the area (πr²).
Sector of a Circle
The region enclosed by two radii and the corresponding arc is called a sector. It can be a minor sector or a major sector based on the central angle.
Segment of a Circle
The region bounded by a chord and the corresponding arc is known as a segment of the circle, categorized into minor and major segments.
Area of Combination of Plane Figures
Many complex geometry problems in this chapter require finding the area of shaded regions by adding or subtracting standard areas like triangles, squares, and circles.
Important Formulas
Board Exam Info
In the Bihar Board (BSEB) Class 10 Mathematics examination, this chapter typically carries around 4 to 6 marks. Questions usually include 1 objective question, 1 short-answer question (2 marks), and occasionally a 5-mark long-answer question involving the calculation of the area of a shaded region or a combination of figures.
Frequently Asked Questions
What value of pi (π) should I use in calculations if it is not given?
Always use 22/7 unless the question specifically instructs you to use 3.14.
How do I find the area of a minor segment when the central angle is given?
First calculate the area of the minor sector using the sector formula, then subtract the area of the triangle formed by the two radii and the chord (usually 1/2 * r^2 * sin(theta) or using equilateral triangle properties if theta is 60 degrees).
Is it important to write units like cm² or m² in the final answer?
Yes! Forgetting to write square units for area or linear units for perimeter will result in a deduction of marks in the BSEB board exam.
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