Solve 1/4pi(15.93^2-12.79^2)*82.03

$$\frac { 1 } { 4 } \pi ( 15.93 ^ { 2 } - 12.79 ^ { 2 } ) \times 82.03$$

Evaluate

$$\frac{462345689\pi }{250000}\approx 5810.007279925$$

Solution Steps

Calculate 15.93 to the power of 2 and get 253.7649.

$$\frac{1}{4}\pi \left(253.7649-12.79^{2}\right)\times 82.03$$

Calculate 12.79 to the power of 2 and get 163.5841.

$$\frac{1}{4}\pi \left(253.7649-163.5841\right)\times 82.03$$

Subtract 163.5841 from 253.7649 to get 90.1808.

$$\frac{1}{4}\pi \times 90.1808\times 82.03$$

Convert decimal number 90.1808 to fraction \frac{901808}{10000}. Reduce the fraction \frac{901808}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{1}{4}\pi \times \frac{56363}{625}\times 82.03$$

Multiply \frac{1}{4} times \frac{56363}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 56363}{4\times 625}\pi \times 82.03$$

Do the multiplications in the fraction \frac{1\times 56363}{4\times 625}.

$$\frac{56363}{2500}\pi \times 82.03$$

Convert decimal number 82.03 to fraction \frac{8203}{100}.

$$\frac{56363}{2500}\pi \times \frac{8203}{100}$$

Multiply \frac{56363}{2500} times \frac{8203}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{56363\times 8203}{2500\times 100}\pi$$

Do the multiplications in the fraction \frac{56363\times 8203}{2500\times 100}.

$$\frac{462345689}{250000}\pi$$

Expand

$$\frac{462345689 \pi}{250000} = 5810.007279925246$$

Solution Steps

Calculate 15.93 to the power of 2 and get 253.7649.

$$\frac{1}{4}\pi \left(253.7649-12.79^{2}\right)\times 82.03$$

Calculate 12.79 to the power of 2 and get 163.5841.

$$\frac{1}{4}\pi \left(253.7649-163.5841\right)\times 82.03$$

Subtract 163.5841 from 253.7649 to get 90.1808.

$$\frac{1}{4}\pi \times 90.1808\times 82.03$$

Convert decimal number 90.1808 to fraction \frac{901808}{10000}. Reduce the fraction \frac{901808}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{1}{4}\pi \times \frac{56363}{625}\times 82.03$$

Multiply \frac{1}{4} times \frac{56363}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 56363}{4\times 625}\pi \times 82.03$$

Do the multiplications in the fraction \frac{1\times 56363}{4\times 625}.

$$\frac{56363}{2500}\pi \times 82.03$$

Convert decimal number 82.03 to fraction \frac{8203}{100}.

$$\frac{56363}{2500}\pi \times \frac{8203}{100}$$

Multiply \frac{56363}{2500} times \frac{8203}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{56363\times 8203}{2500\times 100}\pi$$

Do the multiplications in the fraction \frac{56363\times 8203}{2500\times 100}.

$$\frac{462345689}{250000}\pi$$