The central angle of the hexagon is equal to 60º.
Therefore, the trigonometric relationship for the radius is given by:
Where,
a: apothema of the hexagon
c: Hexagon radius.
Clearing the radio we have:
Substituting values:
Rounding to the nearest whole number we have:
Answer:
The measure of the radius, c, rounded to the nearest inch is:
C. 14 in.
Answer:
The area of the triangle is
Step-by-step explanation:
Given:
Coordinates D (0, 0), E (1, 1)
Angle ∠DEF = 60°
△DEF is a Right triangle
To Find:
The area of the triangle
Solution:
The area of the triangle is =
Here the base is Distance between D and E
calculation the distance using the distance formula, we get
DE =
DE =
DE =
DE =
Base =
Height is DF
DF =
DF =
DF =
Now, the area of the triangle is
=
=
=
=
