Calculating Area and Circumference of Circles

The video tutorial covers the fundamental concepts of calculating the area and circumference of circles. It explains the formulas π R-squared for area and π D or 2π R for circumference. The tutorial also demonstrates how to estimate circumference using the diameter and provides examples of calculations with rounding. Additionally, it introduces the concept of sectors and arc lengths, explaining how to calculate these using proportions of the circle's total area or circumference.

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

• πD

• πR²

• 2πR

• πD²

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

• πR²

• πD

• R/π

• πD²

If a circle has a diameter of 12, what is an approximate estimate of its circumference?

• 60

• 36

• 24

• 48

How do you calculate the area of a sector with a central angle of 85 degrees?

• πR² * (360/85)

• πR² * (85/360)

• πD * (85/360)

• 2πR * (85/360)

To find the arc length of a circle with a central angle of 85 degrees, which formula would you use?

• πD² * (85/360)

• πR² * (85/360)

• πD * (85/360)

• 2πR * (85/360)