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Group 5
The Formula for the area of sector
 The Length of an arc is proportional to the angle
subtended at the centre of the circle
 Similarly, the area of a sector is also proportional to
the angle subtended at the centre of the circle
 The area of a sector of a circle can be calculate by
using this formulae
Find The Area Of a Sector given the
radius and angle at the centre
A
O B
7 cm
Formulae
Solution
Find The Angle Of The Centre.
Given the radius and area of sector

A
O
B
Find The Radius. Given The Area Of A
Sector And The Angle Of The Centre
A
O
B
Solve The Problem
Find The Area Of Sector
A
O
B
In the diagram, O is the centre
of the circle. Find the area
of Major Sector AOB.
Answer
Find The Area Of Circle
O 14cm
In the diagram, O is the centre
of the circle. Find the Area Of Circle.
With the radius 28cm
Answer
Circles Formula
Area Of Sector CircleArea Of Circle
Circumference of Circle Length Of Arc

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Mathematics c ircle

  • 2. The Formula for the area of sector  The Length of an arc is proportional to the angle subtended at the centre of the circle  Similarly, the area of a sector is also proportional to the angle subtended at the centre of the circle  The area of a sector of a circle can be calculate by using this formulae
  • 3. Find The Area Of a Sector given the radius and angle at the centre A O B 7 cm Formulae Solution
  • 4. Find The Angle Of The Centre. Given the radius and area of sector  A O B
  • 5. Find The Radius. Given The Area Of A Sector And The Angle Of The Centre A O B
  • 6. Solve The Problem Find The Area Of Sector A O B In the diagram, O is the centre of the circle. Find the area of Major Sector AOB. Answer
  • 7. Find The Area Of Circle O 14cm In the diagram, O is the centre of the circle. Find the Area Of Circle. With the radius 28cm Answer
  • 8. Circles Formula Area Of Sector CircleArea Of Circle Circumference of Circle Length Of Arc