Question

PLEASE ANSWER THIS!!!!!!!

Find the area of a regular hexagon inscribed in a circle whose radius is 5 cm. Hint: draw a picture.

Answer 1

Answer:

draw a hexagon

in a regular hexagon

side = radius

if a draw the figure u can see 5 equilateral triangle, so let's find are of each triangle

side = radius= 5cm

area of an equilateral triangle =

$\frac{3}{4} {a}^{2}$

a represents sides

therefore , 3/4 x 5x5

3/4 x 25

75/4

18.75

since all triangles have equal area

18.75x5

93.75 cm sq

therefore area of hexagon is 93.75 cm sq