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Chapter 5 | Integration
59. A unit circle is made up of n wedges equivalent to the inner wedge in the figure. The base of the inner triangle is 1 unit and its height is sin ⎛ ⎝ π n ⎞ ⎠ . The base of the outer triangle is B =cos ⎛ ⎝ π n ⎞ ⎠ +sin ⎛ ⎝ π n ⎞ ⎠ tan ⎛ ⎝ π n ⎞ ⎠ and the height is H = B sin ⎛ ⎝ 2 π n ⎞ ⎠ . Use this information to argue that the area of a unit circle is equal to π .
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