Solve =3.14*(4)^2*72/360^circ

$$= 3.14 \times ( 4 ) ^ { 2 } \times \frac { 72 } { 360 ^ { \circ } }$$

Evaluate

$$10.048$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$3.14\times 16\times \frac{72}{360}$$

Multiply 3.14 and 16 to get 50.24.

$$50.24\times \frac{72}{360}$$

Reduce the fraction \frac{72}{360} to lowest terms by extracting and canceling out 72.

$$50.24\times \frac{1}{5}$$

Convert decimal number 50.24 to fraction \frac{5024}{100}. Reduce the fraction \frac{5024}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1256}{25}\times \frac{1}{5}$$

Multiply \frac{1256}{25} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1256\times 1}{25\times 5}$$

Do the multiplications in the fraction \frac{1256\times 1}{25\times 5}.

$$\frac{1256}{125}$$

Factor

$$\frac{157 \cdot 2 ^ {3}}{5 ^ {3}} = 10\frac{6}{125} = 10.048$$