Solve pi({left(15.25/2right)}^2

$$\pi ( { \left( \frac{ 15.25 }{ 2 } \right) }^{ 2 }$$

Evaluate

$$\frac{3721\pi }{64}\approx 182.654160375$$

Solution Steps

Expand \frac{15.25}{2} by multiplying both numerator and the denominator by 100.

$$\pi \times \left(\frac{1525}{200}\right)^{2}$$

Reduce the fraction \frac{1525}{200} to lowest terms by extracting and canceling out 25.

$$\pi \times \left(\frac{61}{8}\right)^{2}$$

Calculate \frac{61}{8} to the power of 2 and get \frac{3721}{64}.

$$\pi \times \frac{3721}{64}$$