180k views
3 votes
If a heptagon has an area of 105 in2, what is the measure of one side ?

User Amahfouz
by
4.5k points

1 Answer

6 votes

Answer:

5.38 inches

Explanation:

The formula for Area of an Heptagon

= A=7/4a²cot(180°/7)

Area = 105in²

Side a = ?

The formula for Side a

= √4A ×tan (180°/7)/7

= √4 × 105 × tan (180°/7) /7

= 5.37536 inches

Approximately = 5.38 inches.

User James Doherty
by
5.2k points