Lesson 11.4: Area of Regular Polygons Answers

The area of the regular hexagon is 169.74 ft2.

The base of the right triangle drawn in the regular octagon measures 0.7 cm.

A community pool that is shaped like a regular pentagon needs a new cover for the winter months. The radius of the pool is 20.10 ft. The pool is 23.62 ft on each side.To the nearest square foot, what is the area of the pool that needs to be covered?

A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in.

Fiona must find the length indicated by the dotted line for the tiles she is installing. She knows that each polygon is a regular hexagon with a perimeter of 7.5 in.

A regular hexagon is shown.

The area of the regular hexagon is 10.4 in.2.

A regular decagon has a radius of 8 cm.What is the approximate area of the decagon? Recall that a decagon is a polygon with 10 sides.

A square has an apothem measuring 2.5 cm and a perimeter of 20 cm.What is the area of the square, rounded to the nearest square centimeter?

The area of the regular octagon is approximately 54 cm2.

Manuel wants to buy a window shade to cover the window and frame shown. The window is in the shape of a regular octagon.The radius of the window, including the frame, is 2 ft, and the measure of each edge of the octagonal frame is 1.52 ft.

A regular pentagon is shown.

A regular octagon has a radius of 6 ft and a side length of 4.6 ft.

A regular hexagon has a radius of 20 in. What is the approximate area of the hexagon?

A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.