What is simplify 80/360*pi(12)^2 ?

The solution to simplify 80/360*pi(12)^2 is 32pi

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

Evaluate 80/360*pi(12)^2

simplify

\frac{80}{360} \cdot π (12)^{2}

32 π

Decimal

100.53096 \dots

Solution steps

\frac{80}{360} π 1 2^{2}

\frac{80}{360} = \frac{2}{9}

= 1 2^{2} π \frac{2}{9}

Multiply fractions:

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

= \frac{2 π 1 2 ^{2}}{9}

Factor

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

Factor

9 : 3^{2}

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

2 π 2^{4} \cdot 3^{2} = π 2^{5} \cdot 3^{2}

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

Cancel the common factor:

3^{2}

= 2^{5} π

2^{5} = 32

= 32 π

(- 5) - (- 1)

\frac{( 6 ! )}{( 3 ! )}

- 36/6

36/9

x, 4 x = 2

What is simplify 80/360*pi(12)^2 ?
The solution to simplify 80/360*pi(12)^2 is 32pi