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 | |||
What is the area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm? | |||
| Right Option : C | |||
| View Explanation | |||
A horse is tethered to a corner of a field which is in the shape of an equilateral triangle. If the length of the rope through which it is tied be 7 m, then the area of the field over which it can graze is : | |||
| Right Option : C | |||
| View Explanation | |||
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