Area of Regular Polygons
A regular hexagon has a radius of 20 in. What is the approximate area of the hexagon?
1,038 in.2
The area of the regular octagon is approximately 54 cm2. What is the length of line segment AB, rounded to the nearest tenth?
3.4 cm
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. What is the length of the dotted line? Round to the nearest hundredth.
3.75 in.
A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm. What is the area of the pentagon, rounded to the nearest tenth?
32.7 cm2
A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in. What is the area of the octagon, rounded to the nearest square inch?
332 in.2
The area of the regular hexagon is 169.74 ft2. What is the perimeter, rounded to the nearest tenth?
48.5 ft
A regular pentagon is shown. What is the length of the apothem, rounded to the nearest tenth?
6.5 cm
Which statements about finding the area of the equilateral triangle are true? Select three options.
The apothem can be found using the Pythagorean theorem. The apothem can be found using the tangent ratio. The length of the apothem is approximately 2.5 cm.
A regular octagon has a radius of 6 ft and a side length of 4.6 ft. What is the approximate area of the octagon?
101 ft2
The base of the right triangle drawn in the regular octagon measures 0.7 cm. What is the perimeter of the octagon?
11.2 cm
A regular hexagon is shown. What is the measure of the radius, c, rounded to the nearest inch? Use the appropriate trigonometric ratio to solve.
14 in.
What is the measure of the radius, c, rounded to the nearest inch? Use the appropriate trigonometric ratio to solve.
14 in.
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?
960 ft2