Find the angle of a sector with an area of 30 and radius 4.

214.9681529

Step-by-step explanation:

Set up a proportion:

30 (area of sector) / 50.24 (total area of circle) = x (angle of sector) / 360 (degrees in a circle)

Area of the sector is 4.19 sq. units

Step-by-step explanation:

Step 1: Find the area of the sector where radius = 4 and central angle = 30°

Area of the sector = π r² (C/360), where r is radius and C is the central angle

⇒ Area = 3.14 * 4² * (30/360)

= 3.14 * 16 * 1/12 = 4.19 sq. units