Answer by Harish Chandra Rajpoot for What is the area of shaded region which...
You can also easily solve the problem by rotating the figure by $90^o$ clockwise so that the dotted line coincides with the x-axis & center of outer circle at the origin. Thus, equation of the...
View ArticleAnswer by David Quinn for What is the area of shaded region which is lies...
Draw a line from the centre of the larger circle to the left-most corner of the shaded region. This has length $2r$. We then have an obtuse angled triangle with largest angle $\frac {2\pi}{3}$, due to...
View ArticleAnswer by user65203 for What is the area of shaded region which is lies...
WLOG let $r=1$.Let us use a coordinate system centered on the large circle. Then the oblique line on the right has equation $x=\sqrt3(y-1)$ and meets the circle $x^2+y^2=4$.Solving the quadratic...
View ArticleAnswer by David Holden for What is the area of shaded region which is lies...
something like this:$$2r^2\left(\int_0^{\frac{\sqrt{3}}2} \left(\sqrt{4-x^2} - 1 - \sqrt{1-x^2} \right)dx + \int_{\frac{\sqrt{3}}2}^{\frac{\sqrt{13}-1}4} \left(\sqrt{4-x^2} - 1-\frac{\sqrt{3}x}2...
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What is the area of shaded region which is lies between outer and inner circle.
There is a outer circle with radius 2r and another inner circle with radius r whose center is the middle of big circle.As depicted in the following figure.Foo graph ImageThere is a sector of 120 degree...
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