Geometric Concepts of Triangles and Semicircles

Suzanna explains how to find the area of a semicircle inscribed in a triangle. She starts by introducing the problem and explaining the formula for the area of a semicircle. She then demonstrates how to find the radius using the properties of the triangle and trigonometry. Finally, she calculates the area and concludes the problem, encouraging viewers to ask questions if needed.

What is the main geometric shape discussed in the problem?

• Rectangle

• Circle

• Triangle

• Square

Where does the diameter of the semicircle lie in relation to the triangle?

• Along the top side

• Along the bottom side

• Along the right side

• Along the left side

What is the formula for the area of a semicircle?

• (pi * radius^2) / 2

• pi * radius^2

• pi * radius

• 2 * pi * radius

How is the radius of the semicircle determined?

• By using the area formula

• By doubling the diameter

• By halving the diameter

• By measuring the circumference

What type of triangle is formed with the semicircle's radius?

• Equilateral triangle

• Isosceles triangle

• Right triangle

• Scalene triangle

What is the angle measure in an equilateral triangle?

• 120 degrees

• 60 degrees

• 45 degrees

• 90 degrees

Which trigonometric function is used to find the length of the side in the right triangle?

• Sine

• Cosine

• Tangent

• Secant

What is the final calculated area of the semicircle?

• 10.6 square meters

• 9.3 square meters

• 8.5 square meters

• 12.4 square meters