Calculating Areas of Compound Shapes

This video tutorial covers the concept of compound shapes, focusing on calculating areas of various shapes including rectangles, squares, triangles, and circles. It explains how to handle full and partial circles and provides examples of compound shapes like window, track, and flag shapes. The tutorial emphasizes breaking down complex shapes into simpler ones and using addition or subtraction to find the total area.

What formula is used to calculate the area of a rectangle?

• (Length + Width) / 2

• Length x Width

• Length / Width

• Length + Width

How do you calculate the area of a square with a side length of 4 inches?

• 4 / 4

• 2 x 4

• 4 x 4

• 4 + 4

What is the area of a circle with a radius of 12?

• 36 pi

• 452.16

• 24 pi

• 144 pi

How do you find the area of a half circle with a diameter of 24?

• 226.08

• 144 pi

• 452.16

• 452.16 / 2

What is the area of a quarter circle with a radius of 8?

• 50.24

• 100.48

• 25.12

• 200.96

How do you calculate the total area of a shape composed of a rectangle and a half circle on top?

• Add the area of the rectangle to the area of the half circle

• Multiply the areas together

• Subtract the area of the half circle from the rectangle

• Divide the area of the rectangle by the area of the half circle

What is the area of a rectangle with dimensions 24 inches by 36 inches?

• 720

• 60

• 864

• 1080

How do you find the area of a shape that is missing a circle in the middle?

• Divide the area of the rectangle by the circle

• Multiply the area of the rectangle by the circle

• Subtract the area of the circle from the rectangle

• Add the area of the circle to the rectangle

What is the area of the shaded region if the outer rectangle is 5 by 6 and the inner circle has a radius of 2?

• 30

• 17.44

• 18.84

• 12.56

When calculating the area of compound shapes, what is the first step?

• Adding all shapes together

• Breaking them down into smaller shapes

• Calculating the perimeter

• Multiplying all shapes together