Deriving the Area of a Circle from Circumference

What is the formula for the area of a rectangle?

• Base + Height

• 2 x (Base + Height)

• Base x Height

• Length + Width

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How do you calculate the perimeter of a rectangle?

• Length + Width

• Base x Height

• 2 x (Base + Height)

• Base + Height

Tags

CCSS.4.MD.A.3

What is the area of a triangle formed by bisecting a rectangle?

• Base x Height

• 1/4 Base x Height

• 2 x Base x Height

• 1/2 Base x Height

Tags

CCSS.6.G.A.1

How is the circumference of a circle calculated?

• Radius x Diameter

• 2 x Pi x Radius

• Pi x Radius

• Pi x Diameter

Tags

CCSS.7.G.B.4

What is the relationship between the diameter and radius of a circle?

• Diameter = Pi x Radius

• Radius = 2 x Diameter

• Radius = Pi x Diameter

• Diameter = 2 x Radius

Tags

CCSS.7.G.B.4

What units are used to measure the area?

• Centimeters squared, Meters squared

• Inches, Feet

• Inches squared, Feet squared

• Centimeters, Meters

Tags

CCSS.3.MD.C.6

Using the pizza model, what does the base of the rectangular pizza represent?

• One fourth of the pizza's circumference

• Diameter of the pizza

• Radius of the pizza

• One half of the pizza's circumference

What is the area formula for a circle derived from the pizza model?

• Pi x Radius squared

• 2 x Pi x Radius

• Radius x Diameter

• Pi x Diameter squared

Tags

CCSS.7.G.B.4

What is the area of eight slices of a 16-slice pizza modeled as a rectangle?

• 2 x Pi x Radius squared

• Pi x Radius squared

• Pi x Radius squared / 4

• Pi x Radius squared / 2

Tags

CCSS.HSG.C.B.5

How do you derive the area function for one-fourth of a pizza?

• Use half of the circumference as the base and the diameter as the height

• Use one-fourth of the circumference as the base and the radius as the height

• Use the radius as the base and the diameter as the height

• Use the diameter as the base and the radius as the height

Tags

CCSS.7.G.B.4