Find the Area of a Circle from the Circumference

The video tutorial explains how to solve a standardized math test question about finding the area of a circle. The problem involves a circular mirror with a given circumference of 30 pi inches. The tutorial guides viewers through identifying the formula for the area of a circle, solving for the radius using the circumference, and calculating the area. The solution involves dividing the circumference by 2 pi to find the radius, which is then squared to find the area in terms of pi.

What is the circumference of the circular mirror mentioned in the problem?

• 60 pi inches

• 15 pi inches

• 45 pi inches

• 30 pi inches

Which formula is used to calculate the area of a circle?

• Area = 2 * pi * r

• Area = pi * r^2

• Area = 2 * pi * r^2

• Area = pi * d

How do you find the radius of a circle if the circumference is given?

• Divide the circumference by 2 pi

• Divide the circumference by 2

• Multiply the circumference by 2 pi

• Multiply the circumference by pi

What is the radius of the mirror if its circumference is 30 pi inches?

• 20 inches

• 15 inches

• 10 inches

• 25 inches

What is the area of the mirror in terms of pi?

• 150 pi

• 200 pi

• 225 pi

• 250 pi