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Calculus Level 3

$\large 10000\times\sin \left(\frac{180^\circ}{10000}\right)$

Calculate the value of the expression above to five decimal places.

The answer is 3.14159.

1 solution

Sir isaac Newton
Nov 10, 2017

first we have to convert from degrees to radians and we get $10000*sin(\frac{π}{10000}$ ). for very small angles $x$ , $sin(x)$ can be approximated to $x$ , so the equation becomes $10000*(\frac{π}{100000}$ ), which is $π$ . so the answer is $3.14159$

You cannot use a calculator

The answer is 3.14159.

1 solution

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