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Answer to Question #274 in Geometry for Paolo

Question #274
The radius of the Earth increases by 1 m, how will the length of the Earth&rsquo;s equator increase?
The earth&rsquo;s equator is a circle. And the radius of the Earth is the radius of this circle. The length of a circle is expressed by the formula: L = 2*&pi;*R. So if the radius changes by 1 m (it was R and it became (R+1)m), the length of the circle is: L&rsquo; = 2*&pi;*(R+1m) = 2*&pi;*R + 2*&pi;*1m = L + (2*&pi;)m. So the length of the Earth&rsquo;s equator increases by (2*&pi;)m.

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