Solve 4*3.14^2*0.36/left(1.300right)^2

$$\frac{ 4 \times { 3.14 }^{ 2 } \times 0.36 }{ { \left(1.300 \right) }^{ 2 } }$$

Evaluate

$$\frac{887364}{105625}\approx 8.40107929$$

Solution Steps

Calculate 3.14 to the power of 2 and get 9.8596.

$$\frac{4\times 9.8596\times 0.36}{1.3^{2}}$$

Multiply 4 and 9.8596 to get 39.4384.

$$\frac{39.4384\times 0.36}{1.3^{2}}$$

Multiply 39.4384 and 0.36 to get 14.197824.

$$\frac{14.197824}{1.3^{2}}$$

Calculate 1.3 to the power of 2 and get 1.69.

$$\frac{14.197824}{1.69}$$

Expand \frac{14.197824}{1.69} by multiplying both numerator and the denominator by 1000000.

$$\frac{14197824}{1690000}$$

Reduce the fraction \frac{14197824}{1690000} to lowest terms by extracting and canceling out 16.

$$\frac{887364}{105625}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 157 ^ {2}}{5 ^ {4} \cdot 13 ^ {2}} = 8\frac{42364}{105625} = 8.401079289940828$$