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Mathematics

1 answer:

Setler [38]2 years ago

8 0

Answer:

Step to Step Explaintion:

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Find the area of the regular polygon

olasank [31]

$area = 44.0467 \: cm {}^{2}$

<h3>step by step explanation </h3>

● area of regular polygon Formulas ,

⟹ $a = \frac{l^{2}n}{4tan(\frac{\pi }{n)}}$

● now finding the area of regular polygon,

⟹ $\frac{4 {}^{2} \times 8 }{ 4 \: tan \: \binom{180}{5} }$

⟹ $a = \frac{128}{4 \times 0.7265}$

⟹ $a = 44.0467 \: cm {}^{2}$

Hope it's helps you

4 0

2 years ago

Find the interior angle of a regular polygon which has 6 sides

AveGali [126]

Answer:

120°.

Step-by-step explanation:

The sum of all interior angles in a polygon with $n$ sides ( $n\in \mathbb{Z}$ , $n \ge 3$ ) is equal to $(n - 2) \cdot 180^{\circ}$ . (Credit: Mathsisfun.)

The polygon here has 6 sides. $n = 6$ . Its interior angles shall add up to $(6 - 2) \times 180^{\circ} = 720^{\circ}$ .

Consider the properties of a regular polygon. (Credit: Mathsisfun.)

All sides in a regular polygon are equal in length.
All angles in a regular polygon are also equal.

There are six interior angles in a polygon with 6 sides. All six of them are equal. Thus, each of the six interior angle will be

$\displaystyle \frac{1}{6}\times 720^{\circ} = 120^{\circ}$ .

5 0

2 years ago

Can someone please help me with my homework

sladkih [1.3K]

Where

$raduis \: = \: \frac{diameter}{2} \\ diameter \: = \: raduis \: \times \: 2 \\ circumference \: = \: 2\pi \times radius \\ area \: = \: \pi \times {radius}^{2}$