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

Find the area of a circle with a circumference of 53.41 inches.

•  $53.41\ in^2$  

•  $72.25\ in^2$  

•  $226.98\ in^2$  

•  $907.92\ in^2$  

Questions 1 through 8 all refer to the following problem about an oil spill (it's repeated at the top of each question for your convenience). Questions 1 through 7 walk through various steps of the problem, and then Question 8 finally solves it.

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?

What equation(s) should be used?

The circumference of a circular patio is 53.38 feet. What is the area of the​ patio? Use 3.14 for an approximation for π.

• 17

• 8.5

• 72.25

• 226.9

A circle has a circumference of 56.52 cm. Find the area of the circle.

• 351.7 cm²

• 1234.5 cm²

• 1017.36 cm²

• 254.34 cm²

A circle has a circumference of 18π feet. What is its area?

• 81π ft²

• 18π ft²

• 9π ft²

• 36π ft²

Find the circumference of a circle with an area of 1,809.56 square centimeters.

• 260,577 cm

• 150.8 cm

• 75.4 cm

• 473.8 cm

The circumference of a circle is 28.26 cm. What is closest to the area of the circle.

• 254.34 cm²

• 14.13 cm²

• 63.6 cm²

#10 Assuming a particular stadium is circular and is 1,000 feet around, approximately how many square feet does it enclose or cover? (Use 3.14 for π)

• 3,140 ft²

• 79,600 ft²

• 159,000 ft²

• 628,000 ft²