Understanding the Area of a Sector

The video tutorial explains how to find the area of a sector in a circle. It begins by defining a sector and its components, such as the central angle and radius. The tutorial then introduces the necessary formulas: the area of a circle and the concept of a full rotation being 360 degrees. Using these, the video demonstrates how to calculate the area of a sector as a fraction of the circle's area. The example provided involves a sector with a 120-degree angle and an 8 cm radius, resulting in an exact area of 64/3 Pi square centimeters and an approximate area of 67.0206 square centimeters.

What is the central angle of the sector mentioned in the problem?

• 90 degrees

• 360 degrees

• 120 degrees

• 180 degrees

Tags

CCSS.7.G.B.4

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

• 2 pi r

• pi r squared

• pi r

• r squared

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

How many degrees are in a complete rotation around a circle?

• 270 degrees

• 360 degrees

• 90 degrees

• 180 degrees

Tags

CCSS.HSG.C.B.5

What fraction of the circle's area is used to find the area of the sector?

• 1/2

• 1/6

• 1/3

• 1/4

Tags

CCSS.HSG.C.B.5

What is the approximate area of the sector in square centimeters?

• 67.0206

• 64.0000

• 70.0000

• 72.0000

Tags

CCSS.HSG.C.B.5