AArreeaa ooff SSeeccttoorrss 
&& SSeeggmmeennttss
Introduction 
• An arc of a circle is 
any connected part of the 
circle's circumference. 
A sector is a region bounded by 
two radii and an arc lying 
between the radii, and 
a segment is a region bounded by 
a chord and an arc lying 
between the chord's endpoints.
AArreeaa ooff sseeccttoorrss
• A circular sector or circle 
sector, is the portion of 
a circle enclosed by 
two radii and an arc, where 
the smaller area is known as 
the minor sector and the 
larger being the major sector.
Its area can be calculated 
as described below:
Also, if θ refers to the 
central angle in degrees, a 
similar formula can be 
derived:
AArreeaa ooff SSeeggmmeenntt
• A circular segment is an 
area of a circle informally defined 
as an area which is "cut off" from 
the rest of the circle by a chord. 
The circle segment constitutes the 
part between the secant and an 
arc, excluding the circle's center.
• The area of the 
circular segment is equal 
to the area of 
the circular sector minus 
the area of the 
triangular portion. 
The radius is
• The arc length is 
• The area is
TTHHAANNKK YYOOUU

Area of sectors & segment ananya

  • 1.
    AArreeaa ooff SSeeccttoorrss && SSeeggmmeennttss
  • 3.
    Introduction • Anarc of a circle is any connected part of the circle's circumference. A sector is a region bounded by two radii and an arc lying between the radii, and a segment is a region bounded by a chord and an arc lying between the chord's endpoints.
  • 4.
  • 6.
    • A circularsector or circle sector, is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.
  • 8.
    Its area canbe calculated as described below:
  • 9.
    Also, if θrefers to the central angle in degrees, a similar formula can be derived:
  • 10.
  • 12.
    • A circularsegment is an area of a circle informally defined as an area which is "cut off" from the rest of the circle by a chord. The circle segment constitutes the part between the secant and an arc, excluding the circle's center.
  • 14.
    • The areaof the circular segment is equal to the area of the circular sector minus the area of the triangular portion. The radius is
  • 15.
    • The arclength is • The area is
  • 16.