Calculating the Area of Composite Shapes

The video tutorial explains how to label and calculate the areas of two shapes: a semi-circle and a rectangle. It begins by labeling the shapes as Area 1 and Area 2. The tutorial then demonstrates how to calculate the area of a semi-circle using the formula for the area of a circle, adjusting for the semi-circle by halving the result. The radius is determined from the given diameter. Next, the area of a rectangle is calculated using the length and breadth. Finally, the total area of the composite shape is found by adding the two areas together. The video concludes with a prompt to visit the website for more resources.

What is the first step in understanding composite areas?

• Identifying and labeling each area

• Calculating the total area directly

• Drawing the shapes on paper

• Guessing the dimensions of shapes

Tags

CCSS.3.MD.C.7D

What formula is used to calculate the area of a semi-circle?

• 1/2 * pi * R squared

• pi * R squared

• pi * R

• 2 * pi * R

Tags

CCSS.7.G.B.4

How is the radius of the semi-circle determined?

• Multiplying the diameter by pi

• Halving the diameter

• Doubling the diameter

• The radius is given

Tags

CCSS.7.G.B.4

What is the area of the semi-circle if the diameter is 18m?

• 64.615 meters squared

• 254.46 meters squared

• 127.23 meters squared

• 90 meters squared

Tags

CCSS.7.G.B.4

What shape's area is calculated as 1/2 * pi * R squared?

• Semi-circle

• Triangle

• Full circle

• Rectangle

Tags

CCSS.7.G.B.4

How do you calculate the area of a rectangle?

• Length / Breadth

• 2 * (Length + Breadth)

• Length x Breadth

• Length + Breadth

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of the rectangle if its length is 18m and breadth is 4m?

• 52 meters squared

• 90 meters squared

• 72 meters squared

• 22 meters squared

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the total area of the composite shape?

• 220.23 meters squared

• 200 meters squared

• 180 meters squared

• 199.23 meters squared

Tags

CCSS.6.G.A.1

Where can additional resources be found?

• On the vividmaths.com website

• In the video description

• On social media

• In a textbook

What is the benefit of subscribing to the mentioned website?

• Discount on courses

• Free textbooks

• Access to exclusive videos

• Answers to all math questions