Geometric Area and Perimeter Formulas

This video tutorial covers various 2D shapes, including circles, rectangles, squares, triangles, parallelograms, trapezoids, rhombuses, and ellipses. It explains key formulas for calculating area, perimeter, and other properties, such as the Pythagorean theorem for right triangles and Heron's formula for scalene triangles. The tutorial provides a comprehensive overview of geometric concepts and equations essential for understanding these shapes.

What is the formula for the circumference of a circle?

• πd

• 2πr

• πr²

• r²

How do you calculate the area of a rectangle?

• Length + Width

• Length × Width

• 2 × (Length + Width)

• Length × Length

Which theorem is used to find the diagonal of a rectangle?

• Area formula

• Heron's formula

• Pythagorean theorem

• Circumference formula

What is the perimeter of a square with side length x?

• x²

• 4x

• 2x

• 3x

How is the diagonal of a square calculated?

• x²

• 2x

• x

• √2x

What is the formula for the area of a right triangle?

• Base × Height

• Base × Height × 2

• Base + Height

• 1/2 × Base × Height

Which formula is used to find the area of a scalene triangle when all sides are known?

• Pythagorean theorem

• Area = Base × Height

• Heron's formula

• Circumference formula

What is the area formula for a parallelogram?

• 1/2 × Base × Height

• Base × Height

• Base + Height

• Base × Base

How do you calculate the area of an isosceles trapezoid?

• Height × (Base1 + Base2)

• Base1 × Base2

• 1/2 × (Base1 + Base2) × Height

• Base1 + Base2

What is the formula for the area of an ellipse?

• ab

• πab

• πr²

• 2πr