Solve 3.14*3.14*2+(2.14div2)^2*3.14=

$$3.14 \times 3.14 \times 2 + ( 2.14 \div 2 ) ^ { 2 } \times 3.14 =$$

Evaluate

$$23.314186$$

Solution Steps

Multiply 3.14 and 3.14 to get 9.8596.

$$9.8596\times 2+\left(\frac{2.14}{2}\right)^{2}\times 3.14$$

Multiply 9.8596 and 2 to get 19.7192.

$$19.7192+\left(\frac{2.14}{2}\right)^{2}\times 3.14$$

Expand \frac{2.14}{2} by multiplying both numerator and the denominator by 100.

$$19.7192+\left(\frac{214}{200}\right)^{2}\times 3.14$$

Reduce the fraction \frac{214}{200} to lowest terms by extracting and canceling out 2.

$$19.7192+\left(\frac{107}{100}\right)^{2}\times 3.14$$

Calculate \frac{107}{100} to the power of 2 and get \frac{11449}{10000}.

$$19.7192+\frac{11449}{10000}\times 3.14$$

Multiply \frac{11449}{10000} and 3.14 to get \frac{1797493}{500000}.

$$19.7192+\frac{1797493}{500000}$$

Add 19.7192 and \frac{1797493}{500000} to get \frac{11657093}{500000}.

$$\frac{11657093}{500000}$$

Factor

$$\frac{7 \cdot 157 \cdot 10607}{2 ^ {5} \cdot 5 ^ {6}} = 23\frac{157093}{500000} = 23.314186$$