Solving Real World Circle Area Problems

This video tutorial covers the application of the area of a circle formula. It includes solving problems involving the area of circles, such as calculating the area of a grapefruit's surface, a cylinder's base, a semi-circle for a fireplace, sugar cookies, a pizza, and the largest circle in an image. The tutorial emphasizes using the formula pi r squared and provides step-by-step solutions to each problem.

What is the formula for calculating the area of a circle?

• pi * radius

• radius / pi

• 2 * pi * radius

• pi * radius * radius

If the radius of a circle is 4 inches, what is the area?

• 75.36 square inches

• 50.24 square inches

• 25.12 square inches

• 100.48 square inches

How do you calculate the radius from the diameter?

• None of the above

• Divide diameter by 2

• Multiply diameter by pi

• Multiply diameter by 2

What is the area of a circle with a diameter of 20 mm?

• 157 mm squared

• 78.5 mm squared

• 314 mm squared

• 628 mm squared

What is the area of a semi-circle with a radius of 3 feet?

• 21.20 square feet

• 7.065 square feet

• 28.26 square feet

• 14.13 square feet

How much area does one sugar cookie cover if its radius is 2 inches?

• 25.12 square inches

• 6.28 square inches

• 3.14 square inches

• 12.56 square inches

What is the total area covered by frosting for a dozen cookies?

• 301.44 square inches

• 75.36 square inches

• 12.56 square inches

• 150.72 square inches

If Joey ate one-fourth of a 16-inch diameter pizza, how much area did he consume?

• 25.12 square inches

• 50.24 square inches

• 100.48 square inches

• 200.96 square inches

What is the area of the largest circle if its diameter is 14 inches?

• 307.72 square inches

• 615.44 square inches

• 153.86 square inches

• 76.93 square inches

How do you find the radius if you know the diameter of the circle?

• Divide the diameter by pi

• Multiply the diameter by pi

• Divide the diameter by 2

• Multiply the diameter by 2