Understanding Circle Area Calculation

The video tutorial explains how to calculate the amount of grass needed for a circular courtyard by determining the area of the circle. It starts with understanding the relationship between the diameter and radius, then uses the formula for the area of a circle (πr²) to find the required grass area. The tutorial includes a step-by-step guide on using a calculator to perform the calculations and rounding the result to two decimal places, concluding with the final area needed.

What is the first step in determining the amount of grass needed for the courtyard?

• Calculate the perimeter of the circle

• Find the area of the circle

• Measure the height of the courtyard

• Determine the volume of the courtyard

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

• The radius is half the diameter

• The radius is unrelated to the diameter

• The radius is equal to the diameter

• The radius is twice the diameter

If the diameter of a circle is 14.7 feet, what is the radius?

• 3.675 feet

• 29.4 feet

• 14.7 feet

• 7.35 feet

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

• πr

• 2πr

• πd²

• πr²

What is the area of a circle with a radius of 7.35 feet?

• 150.50 square feet

• 180.25 square feet

• 169.72 square feet

• 200.00 square feet

Which key is used to enter the value of π on a calculator?

• The subtraction key

• The exponent key

• The division key

• The addition key

To what decimal place should the area be rounded?

• Whole number

• Hundredths place

• Thousandths place

• Tenths place

What is the approximate area of the circle after rounding?

• 169.72 square feet

• 169.00 square feet

• 168.50 square feet

• 170.00 square feet

How much grass is needed for the courtyard?

• 180 square feet

• 150 square feet

• 169.72 square feet

• 200 square feet

What is the significance of the third decimal place in rounding?

• It is ignored in rounding

• It determines if the number is rounded up or down

• It is used to calculate the perimeter

• It is used to find the diameter