Solve pi*(11,94/2)^2*7,5=

$$\pi \cdot ( \frac { 11,94 } { 2 } ) ^ { 2 } \cdot 7,5 =$$

Evaluate

$$\frac{1069227\pi }{4000}\approx 839.768922055$$

Solution Steps

Expand \frac{11,94}{2} by multiplying both numerator and the denominator by 100.

$$\pi \times \left(\frac{1194}{200}\right)^{2}\times 7,5$$

Reduce the fraction \frac{1194}{200} to lowest terms by extracting and canceling out 2.

$$\pi \times \left(\frac{597}{100}\right)^{2}\times 7,5$$

Calculate \frac{597}{100} to the power of 2 and get \frac{356409}{10000}.

$$\pi \times \frac{356409}{10000}\times 7,5$$

Multiply \frac{356409}{10000} and 7,5 to get \frac{1069227}{4000}.

$$\pi \times \frac{1069227}{4000}$$