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Area of quadrant = 1/4 π r²
Perimeter of a quadrant = 1/4 /2 π r + 2r
2 5 2
A quadrant is 1/4th part of a circle. We know that the area of a circle = πr².
So the area of a quadrant is 1/4πr².

Now the circumference of a circle = 2πr.
So, the length of the curved line of a quadrant = 1/4 x 2πr = 1/2πr
Now a quadrant consists of a curved line and two radii. So perimeter of a quadrant = 1/2πr + 2r

Hope that Helps !!