Heptagon Examples

Let’s solve some example problems on the properties of Heptagon.

Example 1: If the area of a regular heptagon is 714 cm², what is its side?

Solution:

Area of Heptagon = 3.643 × side × side

Here, we have area = 714 cm²

⇒ 714 = 3.643 × side × side

⇒ Side² = 714/3.63 = 196.69

⇒ Side = √196.69 ≈ 14

When we solve the above equation, we get the side equals to 14 cm, approximately.

Example 2: Find the area of the heptagon whose side is 8cm?

Solution:

We know, Area of heptagon = 3.643 (side)²

⇒ Area of heptagon = 3.643 × 8cm × 8cm = 233.1 cm²

So the area of heptagon with side 8cm will be 233.1 cm²

Example 3: Find the perimeter of the heptagon whose side is 8cm?

Solution:

Perimeter of heptagon is 7 × side.

here side = 8 cm

So, Perimeter = 7 × 8 = 56 cm

The perimeter of heptagon with side 8cm will be 56cm.

Practice Questions on Heptagon

Here is a worksheet on Heptagon for you to solve.

1. Find the area of heptagon where the side is 4cm?

2. Find the area of heptagon whose side is 9 cm?

3. The area of heptagon is 1200cm², what is the length of its each side?

4. What is the perimeter of the heptagon whose sides are 2cm, 4cm, 6cm, 3cm, 5cm, 4cm?

Heptagon is a shape from the polygon family that has seven sides. “Hepta” is derived from the Greek word meaning seven and “gon”, meaning sides. It is also called Septagon.

Let’s learn about Heptagon in detail, including its types, properties, formulas and examples.