1. Find the area of the shaded sector.
2. Find the length of the arc defined by the sector.

1. 150π sq.ft  2. 10π ft

Step-by-step explanation:

Equation: Area of a sector = × π

Where:

x = internal angle

r = radius of circle

Values from problem:

x = 60

r = 30

Plug values into equation:

Area of sector = × π

Simplify:

60 divided by 30 equals and 30 squared equals 900 so...

× 900π

900π divided by 6 equals 150π so...

× π = 150π

150π sq. ft

Equation: Arc length = × 2πr

Where:

x = internal angle

r = radius of circle

Values from Problem:

x = 60

r = 30

Plug values into equation:

Arc length = × 2π30

Simplify:

60 divided by 360 equals , and 2π × 30 equals 60π so...

× 60π

60π divided by 6 is 10π

π = 10π

10π ft

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.