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 perimeter 45 cm and radius 6 cm is ________________________ | |||
Right Option : D | |||
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 |
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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