Understanding Inscribed and Circumscribed Hexagons

What is the area of the inscribed hexagon in the given problem?

• 6 square units

• 15 square units

• 9 square units

• 12 square units

Which formula is used to find the area of a regular hexagon?

• 3 S squared square root of 3 over 2

• S squared times 3

• S squared over 2

• 3 S squared over 2

What is the relationship between sides AC and BC in the isosceles triangle formed?

• AC is twice BC

• AC is half of BC

• AC is equal to BC

• AC is unrelated to BC

What is the measure of each interior angle in a regular hexagon?

• 140 degrees

• 90 degrees

• 100 degrees

• 120 degrees

What trigonometric function is used to find the hypotenuse in the right triangle?

• Cosine

• Secant

• Tangent

• Sine

What is the value of sine of 60 degrees used in the calculations?

• 1

• Square root of 3 over 2

• Square root of 2 over 2

• 1/2

How is the side of the circumscribed hexagon related to the side of the inscribed hexagon?

• It is double

• It is half

• It is triple

• It is the same

What is the final area of the circumscribed hexagon?

• 12 square units

• 11 square units

• 10 square units

• 9 square units

What happens to the square root and the second power in the calculation of the circumscribed hexagon's area?

• They cancel each other

• They add up

• They multiply

• They divide

How can the inscribed hexagon be divided to find the area of each equilateral triangle?

• Into 4 triangles

• Into 5 triangles

• Into 6 triangles

• Into 7 triangles