Geometry Concepts and Problem Solving

The video tutorial explains how to find the area of a design on a circular table cover by subtracting the area of an equilateral triangle from the area of the circle. It covers the properties of circles and triangles, calculates the base and height of the triangle using trigonometry, and finally computes the area of the design.

What is the radius of the circular table cover?

• 32 cm

• 64 cm

• 48 cm

• 16 cm

What shape is left in the middle of the circular table cover?

• Square

• Rectangle

• Pentagon

• Equilateral Triangle

How is the area of the design calculated?

• Area of circle plus area of triangle

• Area of triangle minus area of circle

• Area of circle minus area of triangle

• Area of circle times area of triangle

What is the measure of angle BAC in the equilateral triangle?

• 60°

• 45°

• 90°

• 30°

What is the measure of angle B in the triangle OBC?

• 90°

• 120°

• 180°

• 60°

What is the significance of the perpendicular bisector in triangle OBC?

• It bisects the base of the triangle

• It is the longest side of the triangle

• It is the height of the triangle

• It divides the triangle into two equal parts

What trigonometric ratio is used to find OD in triangle ODB?

• Tangent

• Secant

• Cosine

• Sine

What is the length of OD in triangle ODB?

• 32 cm

• 24 cm

• 16 cm

• 8 cm

What is the length of BC in the equilateral triangle?

• 16√3 cm

• 48√3 cm

• 32√3 cm

• 64√3 cm

What is the height of the equilateral triangle ABC?

• 32 cm

• 40 cm

• 56 cm

• 48 cm