• anonymous
how do you find the area, radius, and apothem with the given information; Complete for a regular hexagon with side 18? i have already found the central angle which is 60 degrees. any help would be awesome!
  • Stacey Warren - Expert
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
  • schrodinger
I got my questions answered at in under 10 minutes. Go to now for free help!
  • anonymous
|dw:1332464812872:dw| this regular hexagon contains 6 congruent equilateral triangles so to find area just take the area of 1 triangle and multiply by 6: Apothem = 9sqrt3 Radius = 18 notice I wrote all this done without any work... I identified I'm working with a 30-60-90 triangle and because of its properties, I automatically know the other two sides. Area 1 triangle = 1/2*base*Apothem = 1/2*18*9sqrt3. So the area of the hexagon is 6*1/2*18*sqrt3 = 54sqrt3

Looking for something else?

Not the answer you are looking for? Search for more explanations.