Area of a Regular Polygon Given Side Length

The amount of space inside a shape

• Area

• Perimeter

• Convex

• Concave

A new dog park is built in the shape of a regular decagon. If a side length is 86 feet long, what is the area of the decagon to the nearest foot?

• 23,821

• 17,585

• 5,714

• 56,906

A regular octagon has a side length of 20.5 inches. The area of the regular octagon is 2029 in². What is the length of the apothem to the nearest whole number?

• 24.74in

• 12.37in

• 98.98in

• 197.95in

A regular n - gon has a sides length that is 7.8in, the apothem is 20.8in and the area is 1383.3in².

How many sides are in the polygon?

• 9

• 4

• 11

• 17

A regular pentagon has side length 5 and apothem 5. What is its area?

• 62.5

• 125

• 25

• 12.5

15) Find the area of the regular polygon.

Given a regular quadrilateral with a side length of 25 cm and an apothem of 3.7 cm, find the area.

Given a regular 13-gon with a side length of 7.2 ft and an apothem of 4.3 ft, find the area.

Find the area of the regular polygons. Round your answer to the nearest hundredth.

20) Find the area of the regular polygons. Round your answer to the nearest hundredth.