Exploring the Area of a Circle

What does the term 'area' refer to in geometry?

• The number of square units inside a shape

• The volume of a shape

• The length around a shape

• The perimeter of a shape

What is the value of pi used in the video for calculations?

• 22/7

• 3.142

• 3.14159

• 3.14

How is the radius related to the diameter of a circle?

• It is double the diameter

• It is half the diameter

• It is equal to the diameter

• It is one-fourth of the diameter

What is the first step in calculating the area of a circle?

• Divide the diameter by two

• Multiply pi by the radius

• Square the radius

• Write down the formula

If the radius of a circle is 10 units, what is the area using pi as 3.14?

• 200 units squared

• 62.8 units squared

• 100 units squared

• 314 units squared

In a practical scenario, if a circle's diameter is 30 units, what is the radius?

• 15 units

• 7.5 units

• 30 units

• 60 units

What is the area of a circle with a radius of 15 units using pi as 3.14?

• 942.5 units squared

• 47.1 units squared

• 225 units squared

• 706.5 units squared

How do you find the total area covered by two circular bases each with a radius of 4 units?

• 100.48 units squared

• 50.24 units squared

• 25.12 units squared

• 200.96 units squared

Does a circular rug with a radius of 12 units covering an area of 452.16 square units meet the requirement of covering at least 450 square units?

• Yes, but it exceeds the requirement by too much

• No, it does not meet the requirement

• No, it barely covers the requirement

• Yes, it meets the requirement

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

• Area = 2 * pi * radius

• Area = pi * radius

• Area = pi * radius squared

• Area = pi * diameter squared