Solve (lfloor6*2.54rfloor/2)^2pi

$$( \frac { \lfloor 6 \times 2.54 \rfloor } { 2 } ) ^ { 2 } \pi$$

Evaluate

$$\frac{225\pi }{4}\approx 176.714586764$$

Solution Steps

Multiply 6 and 2.54 to get 15.24.

$$\left(\frac{\lfloor 15.24\rfloor }{2}\right)^{2}\pi$$

The floor of a real number a is the largest integer number less than or equal to a. The floor of 15.24 is 15.

$$\left(\frac{15}{2}\right)^{2}\pi$$

Calculate \frac{15}{2} to the power of 2 and get \frac{225}{4}.

$$\frac{225}{4}\pi$$

Expand

$$\frac{225 \pi}{4} = 176.71458676442586$$

Solution Steps

Multiply 6 and 2.54 to get 15.24.

$$\left(\frac{\lfloor 15.24\rfloor }{2}\right)^{2}\pi$$

The floor of a real number a is the largest integer number less than or equal to a. The floor of 15.24 is 15.

$$\left(\frac{15}{2}\right)^{2}\pi$$

Calculate \frac{15}{2} to the power of 2 and get \frac{225}{4}.

$$\frac{225}{4}\pi$$