Solve 3.14*6+3.14*(314div3.14div2)^2*2=

$$3.14 \times 6 + 3.14 \times ( 314 \div 3.14 \div 2 ) ^ { 2 } \times 2 =$$

Evaluate

$$15718.84$$

Solution Steps

Multiply 3.14 and 6 to get 18.84.

$$18.84+3.14\times \left(\frac{\frac{314}{3.14}}{2}\right)^{2}\times 2$$

Express \frac{\frac{314}{3.14}}{2} as a single fraction.

$$18.84+3.14\times \left(\frac{314}{3.14\times 2}\right)^{2}\times 2$$

Multiply 3.14 and 2 to get 6.28.

$$18.84+3.14\times \left(\frac{314}{6.28}\right)^{2}\times 2$$

Expand \frac{314}{6.28} by multiplying both numerator and the denominator by 100.

$$18.84+3.14\times \left(\frac{31400}{628}\right)^{2}\times 2$$

Divide 31400 by 628 to get 50.

$$18.84+3.14\times 50^{2}\times 2$$

Calculate 50 to the power of 2 and get 2500.

$$18.84+3.14\times 2500\times 2$$

Multiply 3.14 and 2500 to get 7850.

$$18.84+7850\times 2$$

Multiply 7850 and 2 to get 15700.

$$18.84+15700$$

Add 18.84 and 15700 to get 15718.84.

$$15718.84$$

Factor

$$\frac{157 \cdot 2503}{5 ^ {2}} = 15718\frac{21}{25} = 15718.84$$