Circle Geometry Concepts

The video tutorial covers solving problems involving the area of a circle. It revisits the formula for the area of a circle and applies it to solve various problems, including determining the distance a radio signal can cover and calculating the area from a given circumference. The tutorial also includes a comparison of areas of different circles, emphasizing the importance of understanding the relationship between radius, diameter, and area. The instructor provides step-by-step explanations and encourages students to ask questions and review examples to grasp the concepts better.

What is the formula for the area of a circle?

• Area = pi multiplied by diameter squared

• Area = pi multiplied by radius squared

• Area = pi multiplied by radius

• Area = 2 multiplied by pi multiplied by radius

In Example 3 Part A, what is the given area of the circle?

• 60,000 square miles

• 40,000 square miles

• 30,000 square miles

• 50,000 square miles

How do you isolate the radius squared in the equation for area?

• Multiply both sides by pi

• Divide both sides by pi

• Add pi to both sides

• Subtract pi from both sides

What is the approximate radius of the circle in Example 3 Part A?

• 113 miles

• 130 miles

• 120 miles

• 140 miles

In Example 3 Part B, what is the given circumference of the circle?

• 654 miles

• 954 miles

• 754 miles

• 854 miles

How do you find the diameter from the circumference?

• Divide the circumference by pi

• Add pi to the circumference

• Multiply the circumference by pi

• Subtract pi from the circumference

What is the approximate area of the circle in Example 3 Part B?

• 55,000 square miles

• 50,000 square miles

• 40,000 square miles

• 45,216 square miles

In Excel Number 8, what is the radius of Circle A?

• 6 cm

• 5 cm

• 4 cm

• 3 cm

How much larger is the radius of Circle B compared to Circle A?

• 3 cm

• 4 cm

• 5 cm

• 6 cm

What is the radius of Circle C?

• 11 cm

• 10 cm

• 9 cm

• 12 cm