Using the method of integration show tha...

Using the method of integration show that area of circle is ` pi R^(2)` .

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The area can be divided into strips. Let us consider the strip between the radius at x and x+ dx.

The area of shaded part ` dA=2 pi x dx`
Total area ` int dA=2 pi int _(0) ^(R) x dx `
` A=pi R^(2)`

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