Circles and Sectors Word Problems

Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet. Approximately how many square feet of wall will the circle cover?

• 200.96 ft²

• 50.24 ft²

• 25.12 ft²

• 20.96 ft²

Tags

CCSS.7.G.B.4

A business has a circular lawn in front of the building (shown in the picture). How many steps would it take to walk around the entire lawn? (Round your answer to the nearest whole number)

• 4,416 steps

• 118 steps

• 150 steps

• 236 steps

Tags

CCSS.7.G.B.4

Hilary's Horse Hideaway is buying dirt to fill their circular training area. The training circle is 28 feet across. The dirt is sold in truckloads that cover 75 square feet of ground. How many truckloads of dirt will Hilary need?

• 8 truckloads

• 32 truckloads

• 33 truckloads

• 9 truckloads

Tags

CCSS.7.G.B.4

A bicycle tire has a diameter of 27 inches. How far does the bike travel along the ground when the wheel rotates once?

• 84.78
• 15.5
• 27
• 13

Tags

CCSS.7.G.B.4

You want to buy the largest pizza in Northern Utah.  You find a pizza that measures 75.36in around.  What is the area that the pizza covers?

• 452.16 in sq
• 12 in sq
• 24 in sq
• 144 in sq

Tags

CCSS.7.G.B.4

Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the area of Jayne’s lollipop be? Use π = 3.14. (You are going to have to find the diameter then radius before finding area.)

• 50.24 in.²
• 200.96 in²
• 12.56 in. ²
• 78.88 in^.2

Tags

CCSS.7.G.B.4

what is the area of this semicircle ?

• 100.48cm²
• 80cm²
• 200.96cm²
• none of the above

Tags

CCSS.7.G.B.4

ENRICHMENT: A farmer grows potatoes on a circular plot of land that has a radius of 20 meters. Each potato plant requires 2 square meters of soil. What is the maximum number of potato plants the farmer can grow?

• 80

• 628

• 1256

• 2512

Tags

CCSS.7.G.B.4

ENRICHMENT: A circular table top has an area of 324 square inches. Which measurement is closest to the radius of the table top in inches?

• 10.2

• 18.0

• 56.5

• 103.1

Tags

CCSS.7.G.B.4