circles- (22-5-20)

Today we will discuss about Sector and Segment of a circle

 BOYS,WRITE EVERYTHING GIVEN IN THIS BLOG IN YOUR NOTEBOOK. PLEASE DRAW THE CIRCLES AND MARK EVERYTHING GIVEN IN/ON IT.

What is Sector of a circle?

The sector is basically a portion of a circle which could be defined based on these three points mentioned below:
  • A circular sector is the portion of a disk enclosed by two radii and an arc.
  • A sector divides the circle into two regions namely Major and Minor Sector.
  • The smaller area is known as the Minor Sector whereas the region having Greater area is known as Major Sector.

What is Segment of a circle?

A segment of a circle can be defined as a region bounded by a chord and a corresponding arc lying between the chord’s endpoints. 



To understand the concepts of sector and segment of a circle, watch this video by clicking  on the link 👉 https://youtu.be/viM7a4IUp9Y


Let's start Ex-4.6
Q1: From the figure, identify:
(a) the centre of circle
(b) three radii
(c) a diameter
(d) a chord
(e) two points in the interior
(f) a point in the exterior
(g) a sector
(h) a segment.
Solution.
(a) Centre of the circle is O.
(b) Three radii of the given circle are: OA, OB and OC.
(c)  Diameter of the circle is AC.
(d)  Chord of the circle is ED.
(e) Two points in the interior of the circle are O and P.
(f) Point in the exterior of the circle is Q.
(g) Sector of the circle is AOB (shaded region).
(h) Segment of the circle is ED (shaded region).
Q3: Draw any circle and mark
(a) its centre
(b) a radius
(c) a diameter
(d) a sector
(e) a segment
(f) a point in its interior
(g) a point in its exterior
(h) an arc.
Solution.
The Required circle can be drawn as follows:
In this circle,
(a) O is the centre.
(b) OA is a radius.
(c)  AB is a diameter.
(d) OBC is a sector (shaded region)
(e) ED in the segment(shaded region)
(f) P is in the interior of the circle.
(g) Q is in the exterior of the circle.
(h)  BC is an arc of the circle.

That's all for today
Take Care
God Bless!!

Comments

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