Question

(13) A circle divides the plane, on which it lies, in..........parts.
(14) Line segment joining the centre to any point on the circle is a radius of the circle. (T/F)
(15) A circle has only finite number of equal chard. (T/F)
(16) A circle is plane figure. (T/F)​

Answer 1

Solution :

13. A circle divides the plane on which out lies into three parts :

(a) The region lying outside the circle

(b) The region lying inside the circle.

(c) The boundary of the circle.

14. For a line segment connecting the centre of the circle to a point on its circumference ; the length of this line segment is the radius for all points lying on the circumference . Hence this is a true statement .

15. This is entirely false . A circle always can have an infinite set of equal cords .

16. This is a true statement . A circle is a two dimensional figure lying on a plane . So it can be stated as a plane figure .

Answer :

(13) A circle divides the plane, on which it lies, in three parts.

(14) Line segment joining the centre to any point on the circle is a radius of the circle. : True

(15) A circle has only finite number of equal chard. : False

(16) A circle is plane figure. : True

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Answer 2

$\\ \large\mathfrak {\underline \purple{ \: \: \: \: \: \: \: \: answer\: \: \: \: \: \: \: \: }}$

$\large \sf \color{deepskyblue}{fill \: in \: the \: blanks} \rightarrow$

$\large \bf ✠ {\underline{\boxed{ \sf \red{ 13}}}}$ A circle divides the plane, on which it lies, in three parts.

$\large \sf \: \color{navy}{true \: or \: false} \rightarrow$

$\large \bf ✠ {\underline{\boxed{ \sf \red{ 14}}}}$Line segment joining the centre to any point on the circle is a radius of the circle. :

ᴛʀᴜᴇ ✔

$\large \bf ✠ {\underline{\boxed{ \sf \red{ 15}}}}$A circle has only finite number of equal chords.

Fᴀʟsᴇ ✘

$\large \bf ✠ {\underline{\boxed{ \sf \red{ 16}}}}$ A circle is plane figure.

ᴛʀᴜᴇ ✔

$\\ \large\mathfrak {\underline \purple{ \: \: \: \: \: \: \: \: explaination\: \: \: \: \: \: \: \: }}$

$\large \bf ✠ {\underline{\boxed{ \sf \red{ 13}}}}$

A circle divides the plane on which it lies in three parts.

The three parts are:

• (i) inside the circle, which is also called the interior of the circle

• (ii) the circle

• (iii) outside the circle, which is also called the exterior

$\large \bf ✠ {\underline{\boxed{ \sf \red{ 14}}}}$

The distance between centre and any point on circumference is called radius. Hence it is True.

$\large \bf ✠ {\underline{\boxed{ \sf \red{ 15}}}}$

A circle has only finite number of equal chords.

Fᴀʟsᴇ ✘

✎Because a circle has infinite number of equal chords.

$\large \bf ✠ {\underline{\boxed{ \sf \red{ 16}}}}$

A circle is a two-dimensional figure and also known as a plane figure. Hence it is true.

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