Arc Length of Sector
Arc Length of Sector
Arc Length of Sector: Applying the unitary method and taking the whole length of the circle (of angle ) as
, we can obtain the required length as
Example: The perimeter of a certain sector of a circle of radius 5.6 m is 27.2 m. Find the arc length of sector.
Solution: r + r + l = 27.2
5.6+ 5.6 + l = 27.2
11.2+ l = 27.2
l = 27.2 - 11.2= 16 m
Example: Find the length of the arc of a sector subtending an angle of 60 degree at the centre. The Radius being 12 m.
Solution Let be the angle subtended by the arc at the centre. We have
The area of a sector of a circle of radius10 cm cut off by an arc which is 22 cm long is ______________ | |||
| Right Option : B | |||
| View Explanation | |||
the length of an arc, which subtends an angle of | |||
| Right Option : B | |||
| View Explanation | |||
The area of a sector of circle of radius 9 cm is 9 | |||
| Right Option : A | |||
| View Explanation | |||
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