Solve 120^circ*pi/180^circtext{rad}2pi/3

$$120 ^ { \circ } \times \frac { \pi } { 180 ^ { \circ } } \text { rad } \frac { 2 \pi } { 3 }$$

Evaluate

$$\frac{4\pi ^{2}adr}{9}$$

Solution Steps

Express 120\times \frac{\pi }{180} as a single fraction.

$$\frac{120\pi }{180}rad\times \frac{2\pi }{3}$$

Express \frac{120\pi }{180}r as a single fraction.

$$\frac{120\pi r}{180}ad\times \frac{2\pi }{3}$$

Express \frac{120\pi r}{180}a as a single fraction.

$$\frac{120\pi ra}{180}d\times \frac{2\pi }{3}$$

Express \frac{120\pi ra}{180}d as a single fraction.

$$\frac{120\pi rad}{180}\times \frac{2\pi }{3}$$

Multiply \frac{120\pi rad}{180} times \frac{2\pi }{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{120\pi rad\times 2\pi }{180\times 3}$$

Cancel out 60 in both numerator and denominator.

$$\frac{2\times 2\pi \pi adr}{3\times 3}$$

Multiply \pi and \pi to get \pi ^{2}.

$$\frac{2\times 2\pi ^{2}adr}{3\times 3}$$

Multiply 2 and 2 to get 4.

$$\frac{4\pi ^{2}adr}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{4\pi ^{2}adr}{9}$$