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

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

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