3 years ago

Find the area of the regular nonagon

Mathematics

1 answer:

elena-s [515]3 years ago

4 0

Answer:

267.3

Step-by-step explanation:

area of a regular polygon =

(perimeter * apothem)/2

perimeter: 9 * 6.6 = 59.4

area: 59.4 * 9 = 534.6

534.6/2 = 267.3

area = 267.3

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$\large\boxed{\large\boxed{\dfrac{35}{459}}}$

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$\dfrac{1}{12}+\dfrac{1}{24}-\dfrac{1}{36}=\dfrac{6+3-2}{72}=\dfrac{7}{72}$

2. Solve the second parenthesis:

$\dfrac{1}{4}+\dfrac{3}{5}=\dfrac{5+12}{20}=\dfrac{17}{20}$

3. Solve the division:

$\dfrac{7}{72}:\dfrac{17}{20}=\dfrac{7}{72}\times \dfrac{20}{17}=\\ \\ \\ =\dfrac{7\times 20}{72\times 17}=\dfrac{7\times 5}{18\times 17}=\dfrac{35}{306}$

4. Multiply by the last fraction:

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