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Class 12
Maths :-NCERT Solutions - Application Of Integrals

Page No 366:
Question 7:

Find the area of the smaller part of the circle x2 + y2 = a2 cut off by the line 


Answer:

The area of the smaller part of the circle, x2 + y2 = a2, cut off by the line, , is the area ABCDA.

It can be observed that the area ABCD is symmetrical about x-axis.

∴ Area ABCD = 2 × Area ABC

Therefore, the area of smaller part of the circle, x2 + y2 = a2, cut off by the line, , is  units.