Geometry in Japan

Which statement best describes how to find the value of π ?

• The circumference divided by the radius.

• The circumference divided by the diameter.

• The diameter divided by the radius.

• The diameter divided by the circumference.

Hans wants to buy carpet that will completely cover the floor of his room.  He measured the room to be 12 feet by 15 feet.  Which is the minimum amount of carpet that he needs to buy?

• 54 square feet

• 27 square feet

• 200 square feet

• 180 square feet

Look at the triangle.

What is the area of the triangle?

Bailey has a pond in his backyard that is round.  The distance from the center of the pond to its edge is 6 feet.  Which is closest to the circumference of the pond?

• 37.7 ft

• 18.8 ft

• 19.8 ft

• 43.9 ft

What is the approximate area of red rings including the yellow center?

• 12.56 in²

• 314 in²

• 113.04 in²

• 100.48 in²

The diameter of a circular window is 28 inches. Select all the true statements.

• The area of the window is about 

  616 square inches.

• The circumference of the window is about 

  88 inches.

• The area of the window is about 

  1232 square inches.

• The circumference of the window is about 

  176 inches.

Henry is going to try and jog from his home to the store, and then to the bank, before returning back home. How many total miles will he run on this route?

• 27

• 20

• 29

• 23

Complete the statements about Juniper's circular garden.

Juniper has a circular garden that has a diameter of 23 feet.

Juniper wants to:

• find the area of the garden; and

• build a fence around the garden.

• The area of Junipers’ garden, to the nearest square foot, is 72 square ft.

• The area of Junipers’ garden, to the nearest square foot, is 415 square ft.

• To build a fence around the garden, Juniper needs a minimum of 72 ft.

• To build a fence around the garden, Juniper needs a minimum of 73 ft.

• To build a fence around the garden, Juniper needs a minimum of 37 ft.

Ross is building a rectangular fence around his flower garden.  The perimeter of the fence is 38 feet.  

Which two measurements could be the dimensions for the fence?

• 13 ft

• 18 ft

• 5 ft

• 9 ft

• 6 ft

Laura has measured the diameter of the soda can as shown.                              

If she is going to accurately determine the value of pi (π), which value should she measure for the circumference of the soda can?

• 28.26 in

• 14.13 in

• 15.35 in

• 7.06 in