AP State Syllabus AP Board 9th Class Maths Solutions Chapter 12 Circles Ex 12.1 Textbook Questions and Answers.
AP State Syllabus 9th Class Maths Solutions 12th Lesson Circles Exercise 12.1
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Question 1.
Name the following from the given figure where ’O’ is the centre of the circle.
i) \(\overline{\mathbf{A O}}\)
ii) \(\overline{\mathbf{A B}}\)
iii) \(\widehat{\mathrm{BC}}\)
iv) \(\overline{\mathbf{A C}}\)
v) \(\widehat{\mathrm{DCB}}\)
vi) \(\widehat{\mathrm{ACB }}\)
vii) \(\overline{\mathbf{A D}}\)
viii) Shaded region

Solution:
i) \(\overline{\mathbf{A O}}\) – radius
ii) \(\overline{\mathbf{A B}}\) – diameter
iii) \(\widehat{\mathrm{BC}}\) – minor arc
iv) \(\overline{\mathbf{A C}}\) – chord
v) \(\widehat{\mathrm{DCB}}\) – major arc
vi) \(\widehat{\mathrm{ACB }}\) – semi circle
vii) \(\overline{\mathbf{A D}}\) – chord
viii) Shaded region – Minor segment
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Question 2.
State true or false.
i) A circle divides the plane on which it lies into three parts. ( )
ii) The area enclosed by a chord and the minor arc is minor segment. ( )
iii) The area enclosed by a chord and the major arc is major segment. ( )
iv) A diameter divides the circle into two unequal parts. ( )
v) A sector is the area enclosed by two radii and a chord. ( )
vi) The longest of all chords of a circle is called a diameter. ( )
vii) The mid point of any diameter of a circle is the centre. ( )
Solution:
i) True
ii) True
iii) True
iv) False
v) False
vi)True
vii) True