Basic Geometrical Ideas Test - 17

$$\textbf{Step - 1: Verify, If we join any points on a circle we get a diameter of the circle}$$

                   $$\text{A Chord is a line segment that joins any two points of the circle.}$$

                   $$\text{The endpoints of this line segments lie on the circumference of the circle.}$$

                   $$\therefore \text{Option (A) is false}$$

$$\textbf{Step - 2: Verify, A diameter of a circle contains the center of the circle}$$

                   $$\text{Any interval joining two points on the circle and passing through the center is called a}$$

                   $$\text{diameter of the circle.}$$

                   $$\therefore \text{Option (B) is True}$$

$$\textbf{Step - 3: Verify, A semicircle is an arc}$$

                   $$\text{The arc of a circle consists of two points on the circle and all of the points on the circle that lie}$$

                   $$\text{between those two points.}$$

                   $$\text{It's like a segment that was wrapped partway around a circle.}$$

                   $$\text{An arc whose measure equals 180 degrees is called a semicircle since it divides the circle in two}$$

                   $$\therefore \text{Option (C) is True}$$

$$\textbf{Step - 4: Verify, the length of a circle is called its circumference}$$

                   $$\text{A Circle is a round closed figure where all its boundary points are equidistant from a fixed point}$$

                   $$\text{called the center.}$$ 

                   $$\text{The two important metrics of a circle is the area of a circle and the circumference of a circle.}$$

                   $$\therefore \text{Option (D) is True}$$

$$\textbf{Hence, option A is correct as it is false}$$        

The  circumference of circle with radius $${ R }_{ 1 }=2\pi { R }_{ 1 }$$.

From the given figures we can see that,

The two rays of an angle are also called the $$2$$ sides of the angle.

$$ A\quad simple\quad closed\quad curve\quad encloses\quad a\quad single\quad area \quad and \quad do \quad not\quad have  \quad intersecting \quad lines.\\ Here\quad in\quad each\quad of\quad the\quad figures\quad 1,\quad 2,\quad 5,\quad 6,\quad 7\quad a\quad single\quad area\\ is\quad enclosed.\\ But\quad in\quad each\quad of\quad the\quad figures\quad 3,\quad 4,\quad 8\quad more\quad than\quad one\quad area\\ are\quad enclosed.\\ So\quad each\quad of\quad the\quad figures\quad 1,\quad 2,\quad 5,\quad 6,\quad 7\quad is\quad a\quad simple\quad closed \quad curve.\\ $$

A line segment has two end points. A line has no end point. A line-segment has a definite length. But a line does not have definite length. 

Option A is true as a line segment has 2 end points. 

A circle with $$AB=6cm$$ as diameter will have its radius equal to $$3cm$$.

A polygon has straight sides only, not curved sides. Hence, D option is not a polygon.