Area of Other Regular Polygons
<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-area-of-other-regular-polygons" target="_blank">Area of Other Regular Polygons Exercise</a></p><p>How do we find the <strong><span style="color:#8e44ad;">Area of Other Regular Polygons</span></strong>?</p>
<p><strong><span style="color:#e74c3c;">What We Know Already</span></strong></p>
<p>We have memorized three formulas for three regular polygons:</p>
<p style="text-align: center;"><span style="color:#27ae60;">Equilateral Triangle</span></p>
<p style="text-align: center;">$$half \times half \times \sqrt{3}$$</p>
<p style="text-align: center;"><span style="color:#27ae60;">Square</span></p>
<p style="text-align: center;">$s^2$, where $s$ equals the side length</p>
<p style="text-align: center;"><span style="color:#27ae60;">Regular Hexagon</span></p>
<p style="text-align: center;">$$6 \times (half \times half \times \sqrt{3})$$</p>
<p><strong><span style="color:#e74c3c;">What About the Others?</span></strong></p>
<p>To find the area of other regular polygons, like pentagons, octagons, etc., we have to know the side length and the height of one of the internal triangles.</p>
<p><strong><span style="color:#27ae60;">An Example</span></strong></p>
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<p>What we're looking at above is a regular octagon. To find the area, simply find the area of the triangle and multiply it by $8$ (as there are $8$ congruent triangles making up the regular octagon). </p>
<p>$$8 \times \frac{4h}{2} = 8 \times 2h = 16h$$</p>