Solve (30/3,14)^2*9,8=

$$( \frac { 30 } { 3,14 } ) ^ { 2 } \times 9,8 =$$

Evaluate

$$\frac{22050000}{24649}\approx 894,559617023$$

Solution Steps

Expand \frac{30}{3,14} by multiplying both numerator and the denominator by 100.

$$\left(\frac{3000}{314}\right)^{2}\times 9,8$$

Reduce the fraction \frac{3000}{314} to lowest terms by extracting and canceling out 2.

$$\left(\frac{1500}{157}\right)^{2}\times 9,8$$

Calculate \frac{1500}{157} to the power of 2 and get \frac{2250000}{24649}.

$$\frac{2250000}{24649}\times 9,8$$

Multiply \frac{2250000}{24649} and 9,8 to get \frac{22050000}{24649}.

$$\frac{22050000}{24649}$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2} \cdot 5 ^ {5} \cdot 7 ^ {2}}{157 ^ {2}} = 894\frac{13794}{24649} = 894.5596170230029$$