Solve 19y/7*[180pi/frac{1{4}}]

$$\frac { 19 y } { 7 } \cdot [ \frac { 180 \pi } { \frac { 1 } { 4 } } ]$$

Evaluate

$$\frac{13680\pi y}{7}$$

Solution Steps

Divide 180\pi by \frac{1}{4} by multiplying 180\pi by the reciprocal of \frac{1}{4}.

$$\frac{19y}{7}\times 180\pi \times 4$$

Multiply 180 and 4 to get 720.

$$\frac{19y}{7}\times 720\pi$$

Express \frac{19y}{7}\times 720 as a single fraction.

$$\frac{19y\times 720}{7}\pi$$

Express \frac{19y\times 720}{7}\pi as a single fraction.

$$\frac{19y\times 720\pi }{7}$$

Multiply 19 and 720 to get 13680.

$$\frac{13680y\pi }{7}$$

Differentiate w.r.t. y

$$\frac{13680 \pi}{7} = 6139.569643015481$$