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Popular >

simplify 40/360*pi(12)^2

Solution

simplify

\frac{40}{360} \cdot π (12)^{2}

Solution

16 π

+1

Decimal Notation

50.26548 \dots

Solution steps

\frac{40}{360} π 1 2^{2}

\frac{40}{360} = \frac{1}{9}

= 1 2^{2} π \frac{1}{9}

Multiply fractions:

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

= \frac{1 π 1 2 ^{2}}{9}

Multiply:

1 π = π

= \frac{1 2 ^{2} π}{9}

Factor

1 2^{2} : 2^{4} \cdot 3^{2}

Factor

9 : 3^{2}

= \frac{2 ^{4} \cdot 3 ^{2} π}{3 ^{2}}

Cancel the common factor:

3^{2}

= 2^{4} π

2^{4} = 16

= 16 π

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Frequently Asked Questions (FAQ)

What is 40/360*pi(12)^2 ?
The solution to 40/360*pi(12)^2 is 16pi