find the area and perimeter of sector OAB given that angle AOB is 60 degrees and the radius of a circle is 21cm

Given :-We have given that, Angle AOB is 60° The radius of the circle is 21cmTo Find :-We have to find the area and perimeter of the sector OABLet's Begin :-

We have ,

Two radii of the circle OA and OB = 21 cm each AB is the segment of the circle

We know that,

[ Perimeter of sector = Arc length + radius + radius ]

Subsitute the required values in the above formula :-

Length of the arc of OAB

Thus, The perimeter of the sector OAB is 64 cm

Now,

We have to find the area of sector OAB

We know that,

Subsitute the required values in the above formula :-

Area of sector OAB

Hence, The area and perimeter of the sector OAB is 64 cm and 231cm²

What is sector? Sector is nothing but the portion covered by the two radii of the circle For example, In the given circle OAB is sector as it is enclosed by two radii OA and OB.

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