Solve =(3.14)^2(10.466*0.5)^2(0.03pi)/(2)(110^0*frac{3.14{180})^2}

$$= \frac { ( 3.14 ) ^ { 2 } ( 10.466 \times 0.5 ) ^ { 2 } ( 0.03 \pi ) } { ( 2 ) ( 110 ^ { 0 } * \frac { 3.14 } { 180 } ) ^ { 2 } }$$

Evaluate

$$\frac{6654382227\pi }{500000}\approx 41810.716637043$$

Solution Steps

Calculate 3.14 to the power of 2 and get 9.8596.

$$\frac{9.8596\times \left(10.466\times 0.5\right)^{2}\times 0.03\pi }{2\times \left(110^{0}\times \frac{3.14}{180}\right)^{2}}$$

Multiply 10.466 and 0.5 to get 5.233.

$$\frac{9.8596\times 5.233^{2}\times 0.03\pi }{2\times \left(110^{0}\times \frac{3.14}{180}\right)^{2}}$$

Calculate 5.233 to the power of 2 and get 27.384289.

$$\frac{9.8596\times 27.384289\times 0.03\pi }{2\times \left(110^{0}\times \frac{3.14}{180}\right)^{2}}$$

Multiply 9.8596 and 27.384289 to get 269.9981358244.

$$\frac{269.9981358244\times 0.03\pi }{2\times \left(110^{0}\times \frac{3.14}{180}\right)^{2}}$$

Multiply 269.9981358244 and 0.03 to get 8.099944074732.

$$\frac{8.099944074732\pi }{2\times \left(110^{0}\times \frac{3.14}{180}\right)^{2}}$$

Calculate 110 to the power of 0 and get 1.

$$\frac{8.099944074732\pi }{2\times \left(1\times \frac{3.14}{180}\right)^{2}}$$

Expand \frac{3.14}{180} by multiplying both numerator and the denominator by 100.

$$\frac{8.099944074732\pi }{2\times \left(1\times \frac{314}{18000}\right)^{2}}$$

Reduce the fraction \frac{314}{18000} to lowest terms by extracting and canceling out 2.

$$\frac{8.099944074732\pi }{2\times \left(1\times \frac{157}{9000}\right)^{2}}$$

Multiply 1 and \frac{157}{9000} to get \frac{157}{9000}.

$$\frac{8.099944074732\pi }{2\times \left(\frac{157}{9000}\right)^{2}}$$

Calculate \frac{157}{9000} to the power of 2 and get \frac{24649}{81000000}.

$$\frac{8.099944074732\pi }{2\times \frac{24649}{81000000}}$$

Multiply 2 and \frac{24649}{81000000} to get \frac{24649}{40500000}.

$$\frac{8.099944074732\pi }{\frac{24649}{40500000}}$$

Divide 8.099944074732\pi by \frac{24649}{40500000} by multiplying 8.099944074732\pi by the reciprocal of \frac{24649}{40500000}.

$$\frac{8.099944074732\pi \times 40500000}{24649}$$

Multiply 8.099944074732 and 40500000 to get 328047735.026646.

$$\frac{328047735.026646\pi }{24649}$$

Divide 328047735.026646\pi by 24649 to get 13308.764454\pi .

$$13308.764454\pi$$

Expand

$$\frac{6654382227 \pi}{500000} = 41810.71663704337$$

Solution Steps

Calculate 3.14 to the power of 2 and get 9.8596.

$$\frac{9.8596\times \left(10.466\times 0.5\right)^{2}\times 0.03\pi }{2\times \left(110^{0}\times \frac{3.14}{180}\right)^{2}}$$

Multiply 10.466 and 0.5 to get 5.233.

$$\frac{9.8596\times 5.233^{2}\times 0.03\pi }{2\times \left(110^{0}\times \frac{3.14}{180}\right)^{2}}$$

Calculate 5.233 to the power of 2 and get 27.384289.

$$\frac{9.8596\times 27.384289\times 0.03\pi }{2\times \left(110^{0}\times \frac{3.14}{180}\right)^{2}}$$

Multiply 9.8596 and 27.384289 to get 269.9981358244.

$$\frac{269.9981358244\times 0.03\pi }{2\times \left(110^{0}\times \frac{3.14}{180}\right)^{2}}$$

Multiply 269.9981358244 and 0.03 to get 8.099944074732.

$$\frac{8.099944074732\pi }{2\times \left(110^{0}\times \frac{3.14}{180}\right)^{2}}$$

Calculate 110 to the power of 0 and get 1.

$$\frac{8.099944074732\pi }{2\times \left(1\times \frac{3.14}{180}\right)^{2}}$$

Expand \frac{3.14}{180} by multiplying both numerator and the denominator by 100.

$$\frac{8.099944074732\pi }{2\times \left(1\times \frac{314}{18000}\right)^{2}}$$

Reduce the fraction \frac{314}{18000} to lowest terms by extracting and canceling out 2.

$$\frac{8.099944074732\pi }{2\times \left(1\times \frac{157}{9000}\right)^{2}}$$

Multiply 1 and \frac{157}{9000} to get \frac{157}{9000}.

$$\frac{8.099944074732\pi }{2\times \left(\frac{157}{9000}\right)^{2}}$$

Calculate \frac{157}{9000} to the power of 2 and get \frac{24649}{81000000}.

$$\frac{8.099944074732\pi }{2\times \frac{24649}{81000000}}$$

Multiply 2 and \frac{24649}{81000000} to get \frac{24649}{40500000}.

$$\frac{8.099944074732\pi }{\frac{24649}{40500000}}$$

Divide 8.099944074732\pi by \frac{24649}{40500000} by multiplying 8.099944074732\pi by the reciprocal of \frac{24649}{40500000}.

$$\frac{8.099944074732\pi \times 40500000}{24649}$$

Multiply 8.099944074732 and 40500000 to get 328047735.026646.

$$\frac{328047735.026646\pi }{24649}$$

Divide 328047735.026646\pi by 24649 to get 13308.764454\pi .

$$13308.764454\pi$$