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Length of Arc of a Sector

A sector is c...

Question

A sector is cut-off from a circle of radius 21 cm. The angle of the sector is 120°. Find the length of its arc and the area.

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Solution

We know that the arc length l and area A of a sector of circle at an angle θ of radius r is given by and angle.

Let OAB is the given sector.

It is given that and angle.

Now using the value of r and θ, we will find the value of l and A,

Arc length,

Area of sector,

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