Applying the understanding of the area of a circle to solve problems

Oil spilled from a tanker spreads in a circle whose circumference increases at a rate of 40 ft/sec. How fast is the area of the spill increasing when the circumference of the circle is 100π ft?

The circumference of a circle is 15.7 feet.  What is the AREA of the circle?

• 2.5 feet²
• 5 feet²
• 78.5 feet²
• 19.625 feet²

Find the circumference of a circle with an area of 1809.56 square centimeters.

The homeowners association wants to enclose the playground in a fence. How much fencing will they need to purchase? Is this question finding the area or the circumference?

• area
• circumference
• neither

Find the area of a circle with a circumference of 11 𝜋 feet

The homeowners association wants to enclose the playground in a fence. How much fencing will they need to purchase? Is this question finding the area, circumference, or neither?

• area
• circumference
• neither

Jason painted a circular picture for his wife. The picture has a diameter of 20 inches. How many inches of frame would Jason need to purchase to surround the picture? Use 3.14 for pi

• Area

• Circumference

CHALLENGE PROBLEM! Two pizza chains claim they are the cheesiest. 

Hugo's uses 6 ounces of cheese on their personal sized pizzas with an area of 201 square inches. 

DeLorenzo's also uses 6 ounces of cheese on their personal sized pizzas and they have a circumference of 47.1 inches.

Which pizza chain has the most cheese given its area?

• Hugo's

• DeLorenzo's

Find the circumference of the circle given the above information:

• 132.3 mi

• 23 mi

• 11.5 mi

• 72.3 mi

Determine the approximate circumference of a circle that has an area of 350.68 cm².

• 66.38 cm

• 33.19 cm

• 21.14 cm

• 10.57 cm