Q2 of 31 Page 52

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.

(i) Infinite


The circle is a collection of infinite number of points lying on a plane, each of the points is equidistant from a fixed point on that plane.


(ii) Diameter


A diameter is the greatest chord of any circle.



(iiii) Segment


Any chord of a circle divide the circle in two parts, the one with major area is known as major segment and the other part is known as minor segment.



(iv) Origin



As you can see in this image, Diameter has to pass through origin.


(v) equal


Equal arcs subtend equal segments and sectors.


(vi) radii


A sector is the region enclosed by an arc and two radii as shown below.


OAB is a sector.



(vii) Greater than radius


More from this chapter

All 31 →
1

Let us see the adjoining figure of the circle with centre O and write the radii which are situated in the segment PAQ.

 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

 4

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.

 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.