Calculating Areas of Shapes

The video tutorial covers the calculation of composite areas using various geometric shapes. It begins with finding the area of shaded regions involving circles on a coordinate plane. The lesson progresses to calculating areas of rectangles and subtracting smaller areas to find shaded regions. It further explores areas involving rectangles with semicircles, triangles with semicircles, and squares with right triangles. The tutorial emphasizes using formulas for area calculation and provides step-by-step examples to enhance understanding.

What is the formula for the area of a circle?

• πd²

• πr

• 2πr

• πr²

If the diameter of a circle is 6 units, what is the radius?

• 12 units

• 6 units

• 9 units

• 3 units

How do you find the area of a shaded region in a yard?

• Add the areas of all sections

• Subtract the area of the smaller rectangle from the larger one

• Multiply the areas of all sections

• Divide the area of the larger rectangle by the smaller one

What is the area of a rectangle with dimensions 3 units by 2 units?

• 12 units²

• 9 units²

• 6 units²

• 5 units²

How do you calculate the area of a semicircle?

• πr²

• πr²/2

• πd

• 2πr

What is the area of a rectangle with a height of 7.5 meters and a width of 4 meters?

• 30 meters²

• 28 meters²

• 15 meters²

• 22 meters²

What is the formula for the area of a triangle?

• Base times height

• Base times height divided by two

• Base plus height

• Base minus height

If a triangle has a base of 14 and a height of 8, what is its area?

• 56

• 112

• 28

• 84

How do you find the area of a square?

• Length times width

• Length plus width

• Length divided by width

• Length minus width

What is the area of a square with side length 20?

• 40

• 400

• 200

• 100