Solve 19.1*19.1*sin(57)*sin(57)/2*32

$$\frac{ 19.1 \times 19.1 \times \sin ( 57 ) \times \sin ( 57 ) }{ 2 \times 32 }$$

Evaluate

$$4.0093093340662696495112697890884425015625$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{19.1 \cdot 19.1 \cdot 0.8386705679454239 \cdot 0.8386705679454239}{2 \cdot 32}$$

Multiply 19.1 and 19.1 to get 364.81.

$$\frac{364.81\times 0.8386705679454239\times 0.8386705679454239}{2\times 32}$$

Multiply 364.81 and 0.8386705679454239 to get 305.955409892170092959.

$$\frac{305.955409892170092959\times 0.8386705679454239}{2\times 32}$$

Multiply 305.955409892170092959 and 0.8386705679454239 to get 256.5957973802412575687212665016603201.

$$\frac{256.5957973802412575687212665016603201}{2\times 32}$$

Multiply 2 and 32 to get 64.

$$\frac{256.5957973802412575687212665016603201}{64}$$

Expand \frac{256.5957973802412575687212665016603201}{64} by multiplying both numerator and the denominator by 10000000000000000000000000000000000.

$$\frac{2565957973802412575687212665016603201}{640000000000000000000000000000000000}$$

Factor

$$\frac{191 ^ {2} \cdot 571 ^ {2} \cdot 2647 ^ {2} \cdot 5548829147 ^ {2}}{2 ^ {40} \cdot 5 ^ {34}} = 4\frac{5.9579738024129485 \times 10^{33}}{6.3999999999999995 \times 10^{35}} = 4.009309334066271$$