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Lesson Plan Math Class X (Ch 12)  Area Related to Circle
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TEACHER'S NAME :  SCHOOL : 
SUBJECT : MATHEMATICS  CLASS : X STANDARD BOARD : CBSE 
LESSON TOPIC / TITLE : CHAPTER 12: AREA RELATED TO CIRCLE  ESTIMATED DURATION: This topic is divided into seven modules and are completed in seven class meetings. 
 Basic knowledge of plane figures like circle triangle and quadrilateral class VIII and IX .
 Properties of circle and cyclic quadrilateral.
 Introduction and definitions related to the circle, radius, diameter, chord, segment, sector, circumference etc.
 Circumference and perimeter of the circle, semicircle, quadrant and length of arc.
 Area of circle, minorsector, majorsector, minor segment, majorsegment etc.
 In calculating area of segment of a circle, problems should be restricted to central angle of 60^{o}, 90^{o}, 120^{o}.
 Area related to the other plane figures like triangles and quadrilaterals should be taken.
 Problems based on the combinations of plane figures: circle, triangle and quadrilateral should taken and discussed thoroughly.
S.NO. 
TOPIC [For Complete Explanation] 
1 
Introduction Circle, triangle quadrilateral and other polygons are two dimensional figures. So these figures are called plane figures. In this chapter we will discuss the area related the plane figures and combinations of plane figures. First of all teacher will define all the terms which are related with the circle, like definitions of Circle, centre of the
circle, radius, diameter, chord, segment, sector, minor segment, major
segment, minor sector, major sector, semicircle, quadrant and circumference
of the circle. 
2 
Circumference and perimeter Now teacher will explain different properties of circle to the students and explain the difference between the circumference and perimeter of the circle. Length of curved surface is called circumference and length of the boundary is called perimeter. In case of circle circumference and perimeter both are same. But in semicircle both are different. 
3 
Now teacher will explain the formula and method of finding the circumference and perimeter of the circle, semicircle and quadrant. Circumference of semicircle = 𝞹r Perimeter of semicircle = 𝞹r + 2r Perimeter of quadrant of circle = (1/2)𝞹r + 2r 
4 
Area of Segment and Sector Now teacher will explain the formula and method of finding the area of the circle,
semicircle, quadrant, minor segment, major segment, minor sector, major
sector all with central angle 60^{o}, 90^{o}, 120^{o} Also help the students in the implementations of all these
formulas. Area of circle Area of minor sector Area of major sector = Area of minor segment = Area of major segment = Area of Quadrant =

5 
Now explain the area related to different types of
triangles and their implementations in different problems. Area of triangle, right angled triangle, equilateral triangle and scalene triangle. Area of triangle = Area
of equilateral triangle = 
6 
Area of Quadrilaterals Now teacher will explain the area related to different types of quadrilaterals and their implementations in different problems. Area of trapezium, parallelogram, rectangle, rhombus and square. Area of quadrilateral = Area of parallelogram = Area of rectangle = Area of rhombus = Area of square = 
7 
Now teacher will introduce the topic combination of
different plane figures and explain the topic by taking different examples. 
8 
Angle made by minute and hour hand of the watch. Here teacher will explain the angle made by minute hand in one minute = 6^{o } and angle made by hour hand in one minute = ( ½)^{o} Teacher will also explain the topic by taking some examples 
9 
Regular Hexagon Teacher will explain
the concept of regular hexagon and method of finding its area. A regular hexagon can be divided into six equilateral triangles. So Area of
regular hexagon = 6 X Area of equilateral triangle. 
 The circle and its components.
 The area and perimeter related to all the plane figures like circle, semicircle, quadrant, segment, sector, different types of triangles and different types of quadrilaterals.
 Method of solving the problems of plane figures in combination form.
 Review questions given by the teacher.
 Students can prepare a presentation on the formulas related to the plane figures.
 Solve N.C.E.R.T. problems with examples.
 Solve assignment given by the teacher.
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