Area of Sector
Area of Sector
Area of sector
The circular region enclosed by two radii and the corresponding arc is called a sector of the circle.
Applying the unitary method and taking the whole area of the circle (of angle ) as
, we can obtain the required area as
Example The perimeter of a certain sector of a circle of radius 5.6 m is 27.2 m. Find the area of the sector.
Solution Let be the angle subtended by the arc AB at the centre. We have
we are given
5.6 + 5.6 + l = 27.2
11.2 + l = 27.2
l = 27.2-11.2= 16
The area of a sector of a circle of radius 16 cm cut off by an arc which is 18.5 cm long is: | |||
| Right Option : B | |||
| View Explanation | |||
If the area of a minor sector of a circle of radius 5 m is 22 | |||
| Right Option : B | |||
| View Explanation | |||
A sector of 120 degree cut out from a circle has an area of 66/7 sq cm. The radius of the circle is | |||
| Right Option : A | |||
| View Explanation | |||
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