Find the area of the GREEN sector. Use 3.14 for π and round to the nearest hundredth.
To find the area of the green sector, we need to find the area of the whole circle first and then multiply it by the central angle of the green sector divided by 360 degrees.
Given:
Radius of the circle (r) = 4 units
Central angle of the green sector (θ) = 60 degrees
Area of the whole circle:
A = πr^2
A = 3.14 * 4^2
A = 3.14 * 16
A = 50.24 square units
Now, let's find the area of the green sector:
Area of the green sector = (θ/360) * A
Area of the green sector = (60/360) * 50.24
Area of the green sector = (1/6) * 50.24
Area of the green sector = 8.37333333333
Rounded to the nearest hundredth, the area of the green sector is approximately 8.37 square units.