Q4 of 31 Page 52

Let us write true or false:

i. The circle is a plane figure.


ii. The segment is a plane region.


iii. The Sector is a plane region.


iv. The chord is a line segment


v. The arc is a line segment.


vi. There are finite number of chords of same length in a circle


vii. One and only one circle can be drawn by taking a fixed point as its centre.


viii. The lengths of the radii of two congruent circles are equal.

(i) True


Plane Figure, A figure drawn on a 2-D plane.



(ii) True


The segment of a circle is the region bounded by a chord and the arc subtended by the chord.



As you can see in the figure the segment is a plane figure.


(iii) True


A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc.



As you can see in the figure the Sector is a plane figure.


(iv) True


A line segment is a distance between two points.



A chord is a distance between two points on the circumference.


(v) False


Arc is a segment of differential Curve.



(vi) False


There are infinite number of Chords of same length.


(vii) False


Concentric circles are circles with a common center. As you can see in this image We can draw infinite circles.



(viii) True


Two circles are congruent if they have the same size. The size can be measured as the radius, diameter or circumference. They can overlap


More from this chapter

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2

Let us write in the following by understanding it.

i. In a circle, there are number of points.


ii. The greatest chord of the circle is.


iii. The chord divides the circular region into two.


iv. All diameters of the circle pass through.


v. If two segments are equal, then their two arcs are in length.


vi. The sector of the circular region is the region enclosed by the arc and the two.


vii. The length of the line segment joining the point outside the circle and the center is than the length of radius.

3

With the help of scale and pencil compass let us draw a circle and indicate centre, chord, diameter, radius, major arc, minor arc on it

 1

The length of a radius of a circle with its centre O is 5 cm. and the length of its chord AB is 8 cm. Let us write by calculating, the distance of the chord AB from the centre O.

 2

The length of a diameter of a circle with its centre at O is 26 cm. The distance of the chord PQ from the point O is 5 cm. Let us write by calculating, the length of the chord PQ.