Calculating Area of a Circle

The video tutorial explains how to find the area of a circle using its diameter. It begins by introducing the concept and then derives the formula for the area using the relationship between diameter and radius. The formula is explained in detail, showing how it is a modification of the standard pi r squared formula. An example calculation is provided, demonstrating the use of the formula to find the area of a circle with a diameter of 50 centimeters. The video concludes with a call to action for viewers to subscribe and engage with more content.

What is the diameter of the circle mentioned in the video?

• 100 centimeters

• 75 centimeters

• 50 centimeters

• 25 centimeters

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

• pi times diameter

• pi times radius squared

• pi divided by 4 times diameter squared

• pi times diameter squared

The formula pi divided by 4 times diameter squared is derived from which basic formula?

• pi times diameter

• pi times radius squared

• 2 pi times radius

• pi times diameter squared

What is the relationship between the diameter and radius of a circle?

• Diameter is half the radius

• Diameter is three times the radius

• Diameter is twice the radius

• Diameter is equal to the radius

In the formula derivation, what happens to the radius when replaced by diameter over 2?

• It becomes diameter divided by 4

• It becomes diameter over 2 squared

• It remains unchanged

• It becomes diameter squared

What is the final calculated area of the circle in the video?

• 1963.75 square centimeters

• 2000 square centimeters

• 1500 square centimeters

• 2500 square centimeters

To how many decimal places is the area of the circle rounded?

• One decimal place

• Two decimal places

• Four decimal places

• Three decimal places

How many significant figures is the area of the circle expressed in?

• Five significant figures

• Four significant figures

• Seven significant figures

• Six significant figures

What is the purpose of the video as mentioned in the conclusion?

• To discuss the history of circles

• To promote a product

• To teach how to calculate the area of a circle

• To entertain viewers

What does the video encourage viewers to do at the end?

• Dislike the video

• Subscribe, like, and share

• Comment on the video

• Ignore the video