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Lesson Plan Math Class X (Ch-10) | Tangent To a Circle
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Board – CBSE |
CLASS –X |
SUBJECT- MATHEMATICS |
CHAPTER 10 :- Circle |
- Definition of circle and the terms related to the circle like centre, radius, diameter, chord, segment and sector of the circle.
- Tangent to the circle at the point of contact, secant of the circle.
- (Prove) The tangent to the circle is perpendicular to the radius at the point of contact.
- (Prove) The length of the tangent to the circle from the external point are equal.
- (Motivate) Angle made by the chord of a circle with the tangent at the point of contact is equal to the angle made by the chord in the alternate segment of the circle.
S. No. |
Explanation For complete explanation of the topic |
1 |
Define circle
and the terms related to the circle like centre, radius, diameter, chord,
segment and sector of the circle. Explain the topic diagrammatically and give
some examples. Explain all the results associated with the circle that
students had read in their 9^{th} class. |
2 |
Now define the term
tangent and secant to the circle and explain the topic through their figures. |
3 |
Now completely
explain the theorem that radius is always perpendicular to the tangent at the
point of contact. Also give its complete proof to the students. |
4 |
Help the students by
Solving the problems based on the above theorem. |
5 |
Now completely
explain the theorem that length of tangent from external point to the circle
are equal in length. Also give its complete proof to the students. |
6 |
Help the students in
solving the problems based on the above theorem. |
7 |
Now explain the
formula that relate the area and perimeter of the triangle with the radius of
the in-circle. Also help the
students in the implementation of this formula. |
8 |
Now explain the
statement of the theorem that angles in the alternate segment of the circle
are equal. Also help the
students in solving the problems based on this results. |
- After studying this lesson students should know
- the circle and the different terms associated with the circle.
- Tangent and secant to the circle.
- Tangent is always perpendicular to the radius of the circle.
- Length of tangents from external point to the circle is always equal.
- Students should be able to apply all the results and concepts of circle in the daily life problems problems.
- Review questions given by the teacher.
- Students can prepare a presentation on circle which include all the important terms and results associated with the circle.
- Solve NCERT problems with examples.
- Solve assignment given by the teacher.
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Comments
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