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Question

Mathematics Question on Area under Simple Curves

Area lying in first quadrant and bounded by the circle x2+y2=9x^2+ y^2 = 9 and the lines x = 1 and x = 3 is:

A

9π2294sin113|\frac{9π}{2}-\sqrt 2-\frac{9}{4}sin^{-1}\frac{1}{3}| sq.units

B

9π292sin113|9π-\sqrt 2-\frac{9}{2}sin^{-1}\frac{1}{3}| sq.units

C

9π4+292sin113|\frac{9π}{4}+\sqrt 2-\frac{9}{2}sin^{-1}\frac{1}{3}| sq.units

D

9π4292sin113|\frac{9π}{4}-\sqrt 2-\frac{9}{2}sin^{-1}\frac{1}{3}| sq.units

Answer

9π4292sin113|\frac{9π}{4}-\sqrt 2-\frac{9}{2}sin^{-1}\frac{1}{3}| sq.units

Explanation

Solution

The correct option is(D):9π4292sin113|\frac{9π}{4}-\sqrt 2-\frac{9}{2}sin^{-1}\frac{1}{3}| sq.units