Solve (pi0.75^2/2-pi0.6^2/2)*4

$$( \pi \frac{ { 0.75 }^{ 2 } }{ 2 } - \pi \frac{ { 0.6 }^{ 2 } }{ 2 } ) \times 4$$

Evaluate

$$\frac{81\pi }{200}\approx 1.272345025$$

Solution Steps

Calculate 0.75 to the power of 2 and get 0.5625.

$$\left(\pi \times \frac{0.5625}{2}-\pi \times \frac{0.6^{2}}{2}\right)\times 4$$

Expand \frac{0.5625}{2} by multiplying both numerator and the denominator by 10000.

$$\left(\pi \times \frac{5625}{20000}-\pi \times \frac{0.6^{2}}{2}\right)\times 4$$

Reduce the fraction \frac{5625}{20000} to lowest terms by extracting and canceling out 625.

$$\left(\pi \times \frac{9}{32}-\pi \times \frac{0.6^{2}}{2}\right)\times 4$$

Calculate 0.6 to the power of 2 and get 0.36.

$$\left(\pi \times \frac{9}{32}-\pi \times \frac{0.36}{2}\right)\times 4$$

Expand \frac{0.36}{2} by multiplying both numerator and the denominator by 100.

$$\left(\pi \times \frac{9}{32}-\pi \times \frac{36}{200}\right)\times 4$$

Reduce the fraction \frac{36}{200} to lowest terms by extracting and canceling out 4.

$$\left(\pi \times \frac{9}{32}-\pi \times \frac{9}{50}\right)\times 4$$

Combine \pi \times \frac{9}{32} and -\pi \times \frac{9}{50} to get \frac{81}{800}\pi .

$$\frac{81}{800}\pi \times 4$$

Express \frac{81}{800}\times 4 as a single fraction.

$$\frac{81\times 4}{800}\pi$$

Multiply 81 and 4 to get 324.

$$\frac{324}{800}\pi$$

Reduce the fraction \frac{324}{800} to lowest terms by extracting and canceling out 4.

$$\frac{81}{200}\pi$$

Expand

$$\frac{81 \pi}{200} = 1.2723450247038661$$

Solution Steps

Calculate 0.75 to the power of 2 and get 0.5625.

$$\left(\pi \times \frac{0.5625}{2}-\pi \times \frac{0.6^{2}}{2}\right)\times 4$$

Expand \frac{0.5625}{2} by multiplying both numerator and the denominator by 10000.

$$\left(\pi \times \frac{5625}{20000}-\pi \times \frac{0.6^{2}}{2}\right)\times 4$$

Reduce the fraction \frac{5625}{20000} to lowest terms by extracting and canceling out 625.

$$\left(\pi \times \frac{9}{32}-\pi \times \frac{0.6^{2}}{2}\right)\times 4$$

Calculate 0.6 to the power of 2 and get 0.36.

$$\left(\pi \times \frac{9}{32}-\pi \times \frac{0.36}{2}\right)\times 4$$

Expand \frac{0.36}{2} by multiplying both numerator and the denominator by 100.

$$\left(\pi \times \frac{9}{32}-\pi \times \frac{36}{200}\right)\times 4$$

Reduce the fraction \frac{36}{200} to lowest terms by extracting and canceling out 4.

$$\left(\pi \times \frac{9}{32}-\pi \times \frac{9}{50}\right)\times 4$$

Combine \pi \times \frac{9}{32} and -\pi \times \frac{9}{50} to get \frac{81}{800}\pi .

$$\frac{81}{800}\pi \times 4$$

Express \frac{81}{800}\times 4 as a single fraction.

$$\frac{81\times 4}{800}\pi$$

Multiply 81 and 4 to get 324.

$$\frac{324}{800}\pi$$

Reduce the fraction \frac{324}{800} to lowest terms by extracting and canceling out 4.

$$\frac{81}{200}\pi$$