Area Regular Polygons

A line from the center of a regular polygon at right angles to any of its sides.

• apothem

• radius

• permimeter

• area

What is the formula for finding the area of a regular polygon?

• A = ½ ∙P∙ a

• A = 2 ∙P∙ a

• A = ½ ∙b ∙h

• A = ½ ∙d₁d₂

Find the area.

• 50.4

• 700.56

• 100.08

• 1401.12

Find the area of the shaded region.

• 13.5

• 54

• 67.5

• 13.5

A regular decagon has a perimeter of 10 m, and an apothem of 1.5 m. What is the area of the decagon?

• 300 m²

• 30 m²

• 75 m²

• 7.5 m²

What is the area of the equilateral triangle?

• 1558.8 km²

• 389.7 km²

• 519.6 km²

• 129.9 km²

Find the area of a regular hexagon with a perimeter of 48 yards.

• 137.5 yards²

• 145.2 yards²

• 152.9 yards²

• 166.3 yards²

A regular heptagon has sides measuring 26 mm and is divided into 7 congruent triangles. Each triangle has a height of 20 mm. What is the area of the heptagon?

• 74.28 mm²

• 1,274 mm²

• 3,640 mm²

• 1,820 mm²

A quilt is in the shape of a regular pentagon. It is made from 5 pieces of fabric that are congruent triangles. Each triangle has an area of 16 in². What is the area of the quilt?

• 200 in²

• 40 in²

• 80 in²

• 16 in²

Jack is making an art craft shaped as a regular hexagon that has sides measuring 7 cm. He divides his hexagon into 6 equal triangles, each has a height of 4 cm. What is the area of his hexagonal art craft?

• 14 cm²

• 84 cm²

• 28 cm²

• 98 cm²