Find The Area Of A Sector Of A Circle

Group 5

The Formula for the area of sectorThe 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

𝒂𝒓𝒆𝒂𝒐𝒇 𝒔𝒆𝒄𝒕𝒐𝒓𝒂𝒓𝒆𝒂𝒐𝒇 𝒄𝒊𝒓𝒄𝒍𝒆

=𝒙 °

𝟑𝟔𝟎°Area Of Sector

Find The Area Of a Sector given the radius and angle at the centre

A

O B

80 °

7 cm

Formulae

= Area of minor sector of AOB

Solution

=

=

Find The Angle Of The Centre. Given the radius and area of sector

The minor area of AOB is 77

A

O

𝑥

14 cm

B

Solution

77 x x 45

Find The Radius. Given The Area Of A Sector And The Angle Of The Centre

A

O

72 °B

The Area Of The Minor Sector AOB is 7.7

Solution

Solve The Problem Find The Area Of Sector

A

O

6 0°

B

7

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

𝑥360

× 𝜋𝑟2Area Of Sector Circle

Area Of Circle

𝜋𝑟 2

2

Circumference of Circle Length Of Arc