What is 135/360 (pi(16)^2) ?

The solution to 135/360 (pi(16)^2) is 96pi

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simplify 135/360 (pi(16)^2)

simplify

\frac{135}{360} (π (16)^{2})

96 π

Decimal Notation

301.59289 \dots

Solution steps

\frac{135}{360} (π 1 6^{2})

Remove parentheses:

(a) = a

= \frac{135}{360} π 1 6^{2}

\frac{135}{360} = \frac{3}{8}

= 1 6^{2} π \frac{3}{8}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 π 1 6 ^{2}}{8}

Factor

1 6^{2} : 2^{8}

Factor

8 : 2^{3}

= \frac{2 ^{8} \cdot 3 π}{2 ^{3}}

Cancel

\frac{3 π 2 ^{8}}{2 ^{3}} : 2^{5} \cdot 3 π

= 2^{5} \cdot 3 π

2^{5} = 32

= 32 \cdot 3 π

Multiply the numbers:

32 \cdot 3 = 96

= 96 π

2 \cdot 4

1 + 100 + 12 \cdot 2^{2} - 5 \cdot (36 - 29)

2 - 2

\frac{\frac{4}{3} - \frac{2}{6} \cdot \frac{7}{2}}{\frac{2}{3} + \frac{5}{6}}

\frac{2}{7 + 2}