Area of Regular Polygons and Pythagorean Theorem Quiz

What is the formula to find the area of any regular polygon when given a side length and the apothem length?

• A = 1/2 * n * s

• A = 1/2 * n * s * a

• A = n * s

• A = n * s * a

If you are given the radius of a regular polygon, what can you use to find the apothem?

• Scalene triangle skills

• Right triangle skills

• Equilateral triangle skills

• Isosceles triangle skills

In the example with a pentagon and a radius of 6, what is the value of the apothem (a) when using Pythagorean theorem?

• 7

• 3.0512

• 6.3

• 4.873

What is the number of sides in a heptagon?

• 5

• 6

• 7

• 8

In the example with a heptagon and a radius of 7, what is the area of the heptagon when using the given measurements?

• 85.3 square units

• 134.5 square units

• 100 square units

• 200 square units

What is the value of 'a' in the Pythagorean theorem when finding the base of the right triangle in the heptagon example?

• 7

• 3.0512

• 6.3

• 4.873

What is the value of 's' in the heptagon example when using the given measurements?

• 6.1

• 7

• 6.3

• 3.0512

What is the value of 'n' in the heptagon example when using the given measurements?

• 5

• 7

• 8

• 6

What is the value of 'a' in the pentagon example when using Pythagorean theorem?

• 4.873

• 6.3

• 7

• 3.0512

What is the area of a regular polygon when given a side length and the apothem length in general?

• A = 1/2 * n * s * a

• A = 1/2 * n * s

• A = n * s * a

• A = n * s