Circle Application Problems

The circle graph below displays the household population by age groups of Mr. Mixon’s 8^th grade classes. If Mr. Mixon has 200 students, what is the difference from the number of students that have family members between 51 to 64 years of age and students that have family members between 6 to 20 years of age?

• 72 students

• 54 students

• 12 students

• 6 students

An architect is making a plan for a new circular playground. If the picture below is the playground, how much fencing needs to go up to keep the kids in the circle? Use 3.14 for π.

• 3,215 m

• 201 m

• 402 m

• 100 m

Tags

CCSS.7.G.B.4

A bicycle trail in the shape of a circle has a diameter of 3 miles. Kiersty biked around the trail 4 times. About how far did Kiersty bike? Use 3.14 for π.

• 38 miles

• 40 miles

• 35 miles

• 33 miles

Tags

CCSS.7.G.B.4

The radius of a birthday cake is 4 inches. Icing will decorate the circumference of the cake. What procedure can be used to find the approximate circumference of the cake? Use 3.14 for π.

• Multiply 4 by 3.14.

• Multiply 4 by 2, and then multiply the product by 3.14.

• Multiply 4 by 4, and then multiply the product by 3.14.

• Divide 4 by 2, and then multiply the quotient by 3.14.

Tags

CCSS.7.G.B.4

How many cookies are there?

• 48 cookies

• 24 cookies

• 8 cookies

• 4 cookies

Tags

CCSS.4.MD.A.2

Find the area of the circle

• 43.96

• 153.86

• 87.82

• 307.72

Tags

CCSS.7.G.B.4

Mr. Blain designed a circular walkway in front of his house. The diameter of the walkway is about 6 feet long. How many square feet of bricks will he need to buy? Use 3.14 for π.

• 18.84 square feet

• 113.04 square feet

• 9.42 square feet

• 28.26 square feet

Tags

CCSS.7.G.B.4

The circle represents a tablecloth that Angie bought. She wants to sew fringe along the edge of the tablecloth. How many of fringe does she need to buy? Use 3.14 for π.

• 12.4 ft

• 7.9 ft

• 19.6 ft

• 15.7 ft

Tags

CCSS.7.G.B.4

The first Ferris wheel was built in 1893 in Chicago. Its diameter was 250 feet. How many feel did the Ferris wheel rotate with one complete turn? (Think the outside measurement of the circle.) Use 3.14 for π.

• 785 ft

• 390 ft

• 912 ft

• 543 ft

Tags

CCSS.7.G.B.4

The circumference of a circle is 36.31 meters. What is the approximate length of the radius? Use 3.14 for π.

• 3 m

• 4 m

• 5 m

• 6 m

Tags

CCSS.7.G.B.4