Solve 10*0.8^2/4*3.14^2

$$\frac{ 10 \times { 0.8 }^{ 2 } }{ 4 \times { 3.14 }^{ 2 } }$$

Evaluate

$$\frac{4000}{24649}\approx 0.162278389$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{5\times 0.8^{2}}{2\times 3.14^{2}}$$

Calculate 0.8 to the power of 2 and get 0.64.

$$\frac{5\times 0.64}{2\times 3.14^{2}}$$

Multiply 5 and 0.64 to get 3.2.

$$\frac{3.2}{2\times 3.14^{2}}$$

Calculate 3.14 to the power of 2 and get 9.8596.

$$\frac{3.2}{2\times 9.8596}$$

Multiply 2 and 9.8596 to get 19.7192.

$$\frac{3.2}{19.7192}$$

Expand \frac{3.2}{19.7192} by multiplying both numerator and the denominator by 10000.

$$\frac{32000}{197192}$$

Reduce the fraction \frac{32000}{197192} to lowest terms by extracting and canceling out 8.

$$\frac{4000}{24649}$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {3}}{157 ^ {2}} = 0.16227838857560145$$