Answer:
Sum of the areas of two shaded regions = 100 unit² (Approx.)
Step-by-step explanation:
Given:
Radius of circle = 6 units
Angle of one unshaded area = 160'
Find:
Sum of the areas of two shaded regions
Computation:
Angle of one shaded area = 180' - 160'
Angle of one unshaded area = 20'
Sum of the areas of two shaded regions = 2[θ/360][πr²]
Sum of the areas of two shaded regions = 2[160/360][(3.14)(6)²]
Sum of the areas of two shaded regions = 2[160/360][(3.14)(36)]
Sum of the areas of two shaded regions = 2[160/360][(3.14)(36)]
Sum of the areas of two shaded regions = [0.888][113.04]
Sum of the areas of two shaded regions = 100.46
Sum of the areas of two shaded regions = 100 unit² (Approx.)
