What is (53000)/(4*pi*2400^2)*100 ?

The solution to (53000)/(4*pi*2400^2)*100 is (265)/(1152pi)

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simplify (53000)/(4pi2400^2)*100

simplify

\frac{53000}{4 \cdot π \cdot 240 0 ^{2}} \cdot 100

\frac{265}{1152 π}

Decimal Notation

0.07322 \dots

Solution steps

\frac{53000}{4 π 240 0 ^{2}} \cdot 100

\frac{53000}{4 π 240 0 ^{2}} = \frac{53}{2 ^{9} \cdot 3 ^{2} \cdot 5 π}

= 100 \cdot \frac{53}{2 ^{9} \cdot 3 ^{2} \cdot 5 π}

Multiply fractions:

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

= \frac{53 \cdot 100}{2 ^{9} \cdot 3 ^{2} \cdot 5 π}

Multiply the numbers:

53 \cdot 100 = 5300

= \frac{5300}{2 ^{9} \cdot 3 ^{2} \cdot 5 π}

Divide the numbers:

\frac{5300}{5} = 1060

= \frac{1060}{2 ^{9} \cdot 3 ^{2} π}

Factor

1060 : 2^{2} \cdot 5 \cdot 53

= \frac{2 ^{2} \cdot 5 \cdot 53}{2 ^{9} \cdot 3 ^{2} π}

Cancel

\frac{2 ^{2} \cdot 5 \cdot 53}{2 ^{9} \cdot 3 ^{2} π} : \frac{5 \cdot 53}{2 ^{7} \cdot 3 ^{2} π}

= \frac{5 \cdot 53}{2 ^{7} \cdot 3 ^{2} π}

Multiply the numbers:

5 \cdot 53 = 265

= \frac{265}{2 ^{7} \cdot 3 ^{2} π}

2^{7} \cdot 3^{2} π = 1152 π

= \frac{265}{1152 π}

x^{2} - 4 x = 3

∣ 2 x + 5 ∣ - 1 < 0

2 ∣ 2 x - 1 ∣ - 8 = 18

\frac{8 x ^{7} y}{40 x ^{8} y ^{6}}

- \frac{8}{2}

What is (53000)/(4*pi*2400^2)*100 ?
The solution to (53000)/(4*pi*2400^2)*100 is (265)/(1152pi)