Exploring the Area of Polygons

This video tutorial covers the calculation of areas for various polygons, including triangles, squares, rectangles, parallelograms, trapezoids, and circles. It explains the formulas used for each shape, emphasizing the importance of identifying the base and height, especially in triangles and parallelograms. The tutorial also discusses how to find the radius from the diameter or circumference in circles and how to use these measurements to calculate the area. Practical examples are provided to illustrate each concept.

What is the formula to calculate the area of a triangle?

• Base * Height

• Base + Height

• 1/2 * Base * Height

• Base / Height

Tags

CCSS.6.G.A.1

How can you identify the base in a triangle?

• It is always the horizontal side

• It is always the longest side

• It is at the right angle

• It is the vertical side

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the area of a square with a side length of 7.8 cm?

• 54.84 cm squared

• 30.84 cm squared

• 60.84 cm squared

• 15.21 cm squared

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

If a rectangle's area is 100 cm squared and one side is 10 cm, what is the length of the other side?

• 10 cm

• 5 cm

• 20 cm

• 15 cm

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

In a parallelogram, if the base is 5 miles and the height is 4 miles, what is the area?

• 20 miles squared

• 25 miles squared

• 9 miles squared

• 15 miles squared

Tags

CCSS.6.G.A.1

For a trapezoid with bases of 10.8 and 4 cm, and height of 9.3 cm, what is the area?

• 54.66 cm squared

• 138.24 cm squared

• 68.82 cm squared

• 72.84 cm squared

Tags

CCSS.6.G.A.1

How do you find the radius if you know the diameter of a circle?

• Subtract 2 from the diameter

• Multiply the diameter by 2

• Divide the diameter by 2

• Add 2 to the diameter

Tags

CCSS.7.G.B.4

What is the area of a circle with a radius of 11 yards?

• 379.94 yards squared

• 3799 yards squared

• 37.99 yards squared

• 379 yards squared

Tags

CCSS.7.G.B.4

If the circumference of a circle is 53.4 miles, what is the area?

• 227 miles squared

• 327 miles squared

• 127 miles squared

• 427 miles squared

Tags

CCSS.7.G.B.4

What is the formula to find the area of a sector of a circle?

• (Sector degree / 360) * pi * radius squared

• (Sector degree / 180) * pi * radius squared

• (Sector degree / 360) * pi * radius

• (Sector degree / 180) * pi * radius

Tags

CCSS.HSG.C.B.5