What is 1/2*pi/3 (14)^2 ?

The solution to 1/2*pi/3 (14)^2 is (98pi)/3

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simplify 1/2*pi/3 (14)^2

simplify

\frac{1}{2} \cdot \frac{π}{3} (14)^{2}

\frac{98 π}{3}

Decimal Notation

102.62536 \dots

Solution steps

\frac{1}{2} \cdot \frac{π}{3} \cdot 1 4^{2}

Multiply fractions:

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

= \frac{1 π 1 4 ^{2}}{2 \cdot 3}

Multiply:

1 π = π

= \frac{1 4 ^{2} π}{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= \frac{1 4 ^{2} π}{6}

Factor

1 4^{2} : 2^{2} \cdot 7^{2}

Factor

6 : 2 \cdot 3

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

Cancel the common factor:

2

= \frac{7 ^{2} \cdot 2 π}{3}

7^{2} \cdot 2 π = 98 π

= \frac{98 π}{3}

m^{2} + 9 m + 14

9 - 25 x^{2} = 9 - 25 x^{2}

2 z^{2} + z + 4 = 0

3 x^{2} - 6 x + 9 = 0