Solve 1/2*(1+sqrt{3}*3,14div360)=

$$\frac { 1 } { 2 } \times ( 1 + \sqrt { 3 } \times 3,14 \div 360 ) =$$

Evaluate

$$\frac{157\sqrt{3}}{36000}+0,5\approx 0.507553666$$

Solution Steps

Divide \sqrt{3}\times 3,14 by 360 to get \sqrt{3}\times \frac{157}{18000}.

$$\frac{1}{2}\left(1+\sqrt{3}\times \frac{157}{18000}\right)$$

Use the distributive property to multiply \frac{1}{2} by 1+\sqrt{3}\times \frac{157}{18000}.

$$\frac{1}{2}+\frac{1}{2}\sqrt{3}\times \frac{157}{18000}$$

Multiply \frac{1}{2} times \frac{157}{18000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{2}+\frac{1\times 157}{2\times 18000}\sqrt{3}$$

Do the multiplications in the fraction \frac{1\times 157}{2\times 18000}.

$$\frac{1}{2}+\frac{157}{36000}\sqrt{3}$$

Factor

$$\frac{157 \sqrt{3} + 18000}{36000} = 0.5075536660218976$$