Deriving Pi Circumference and Area of Squares

Coach Tipton marks the soccer field each week with striping paint using a roller wheel such as the one shown here. If the distance the wheel travels in one full rotation is 45 feet, what is the radius of the roller wheel? 
Use π≈3

Tags

CCSS.7.G.B.4

Fiona created the sculpture here using a square and a circle. How many square feet of material did the circular part of the sculpture require?

Tags

CCSS.7.G.B.4

Tags

CCSS.7.G.B.4

The swinging door at the local ice cream parlor has a circular window. What is the approximate distance around the window, in feet? Use π≈3.14

Tags

CCSS.7.G.B.4

Randy shops for circular stepping stones for his yard. He finds a stone with a circumference of 36 inches. What is the diameter of the stone, in inches? Use π≈3.14

Tags

CCSS.7.G.B.4

For the school fair, Helen paints a large bullseye for the beanbag toss. The radius of the innermost circle is 6 inches. The diameter of the middle circle is 2 feet. The diameter of the largest circle is 6 feet. Helen paints the shaded region of the bullseye. How many square feet does Helen paint? Use π≈3.14

Tags

CCSS.7.G.B.4

The diameter of the pizza below is 16 inches. If there are 8 equal sized slices of pizza, what is the area of each slice?

Tags

CCSS.7.G.B.4

A park is shaped like a circle. Students determine that to walk along the diameter of the park you would need approximately 76 steps. How many steps would be needed to walk along the outside of the circle?

Tags

CCSS.7.G.B.4

Stephanie painted a circular plate in potter class. The circumference of her plate is 3π units. What is the area of her plate?

Tags

CCSS.7.G.B.4

Alyssa wants to tie a ribbon around a basketball.  She needs enough ribbon to wrap around the basketball and 20 inches extra to tie the bow.  The basketball has a 4.2 inch radius.  How many inches of ribbon will she need?

Tags

CCSS.7.G.B.4