Calculating Area of Circles

The video tutorial explains how to determine the area of a circle given its diameter. It starts by introducing the formula for the area of a circle, which is pi times the radius squared. The tutorial then explains how to calculate the radius from the given diameter. Using this radius, the area is calculated both exactly in terms of pi and approximately using a calculator. The video also highlights the importance of using the pi key on a calculator for more accurate results compared to using the approximation 3.14. Finally, it emphasizes the need to follow instructions regarding which value of pi to use for calculations.

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

• Area = 2 * pi * d

• Area = 2 * pi * r

• Area = pi * r^2

• Area = pi * d

If the diameter of a circle is 52 miles, what is the radius?

• 26 miles

• 104 miles

• 13 miles

• 52 miles

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

• Square the diameter

• Calculate the circumference

• Find the radius

• Multiply by pi

How can the area of a circle be expressed in terms of pi?

• 26 pi square miles

• 52 pi square miles

• 676 pi square miles

• 676 square miles

What is the result of 26 multiplied by 26?

• 726

• 676

• 576

• 826

What is the exact area of the circle in terms of pi?

• 52 pi square miles

• 676 square miles

• 26 pi square miles

• 676 pi square miles

What is the approximate area of the circle using the pi key on a calculator?

• 2,123.72 square miles

• 2,000 square miles

• 1,500 square miles

• 2,500 square miles

What should you do if your calculator does not have a pi key?

• Use 4.0 as an approximation for pi

• Use 3.0 as an approximation for pi

• Use 3.5 as an approximation for pi

• Use 3.14 as an approximation for pi

Why might using 3.14 for pi result in a less accurate area calculation?

• It is not a number

• It is a completely different value

• It uses more decimal places for pi

• It uses fewer decimal places for pi

What is the importance of reading the directions on a question regarding the value of pi?

• To ensure you use the correct value for pi

• To calculate the radius

• To determine the circumference

• To find the diameter