Q. 235.0( 1 Vote )

Using integration

Answer :


To find: area of the region

this region will lie in 1st quadrant

x2 + y2 = 2ax

x2 – 2ax + a2 – a2 + (y – 0)2 = 0

(x – a)2 + (y – 0)2 = a2

This will form a circle with center (a, 0) and radius is a units

y2 = a2 – (x – a)2

y2 = ax is a parabola

The shaded area of the region is illustrated below:

Required Area

Formula used:


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