## Tutoring on Area Application Problems Involving Equations in One Variable

Learning Objectives:

#### Understand and Apply Equations in One Variable on Area Problems

Math Tutoring on Area Application Problems Involving Equations in One Variable

Area formulas for plane figures used in math tutoring are:

1.
Triangle : Area = ½ × b × h, b = base, h = vertical height

2. Square :  Area = a2,  a = length of side

3. Rectangle : Area = w × h, w = width, h = height

4. Parallelogram : Area = b × h, b = base, h = vertical height

5. Trapezoid : Area = ½(a+b) × h, h = vertical height

6.  Circle : Area = π × r2 , Circumference = 2 × π × r, r = radius

7.  Ellipse : Area = πab

8.  Sector : Area = ½ × r2 × θ , r = radius, θ = angle in radians.

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Hook Questions:

1.    Find height 'h' from area formulas of different plane figures.

2.    Give the area formula for the ellipse.

3.    How do you express the area of a sector with radius r and angle in radius θ?

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