Solve 4*3.14^2*2.2/1.5^2

$$\frac{ 4 \times { 3.14 }^{ 2 } \times 2.2 }{ { 1.5 }^{ 2 } }$$

Evaluate

$$\frac{1084556}{28125}\approx 38.561991111$$

Solution Steps

Calculate 3.14 to the power of 2 and get 9.8596.

$$\frac{4\times 9.8596\times 2.2}{1.5^{2}}$$

Multiply 4 and 9.8596 to get 39.4384.

$$\frac{39.4384\times 2.2}{1.5^{2}}$$

Multiply 39.4384 and 2.2 to get 86.76448.

$$\frac{86.76448}{1.5^{2}}$$

Calculate 1.5 to the power of 2 and get 2.25.

$$\frac{86.76448}{2.25}$$

Expand \frac{86.76448}{2.25} by multiplying both numerator and the denominator by 100000.

$$\frac{8676448}{225000}$$

Reduce the fraction \frac{8676448}{225000} to lowest terms by extracting and canceling out 8.

$$\frac{1084556}{28125}$$

Factor

$$\frac{11 \cdot 2 ^ {2} \cdot 157 ^ {2}}{3 ^ {2} \cdot 5 ^ {5}} = 38\frac{15806}{28125} = 38.56199111111111$$