Answer:
Area of the unshaded sector = 113.4 sq units
Area of the shaded sector = 200.6 sq units
Step-by-step explanation:
First let us calculate the area of the circle
Area of the circle = πr²
radius r = 10units
Area of the circle = π(10)²
Area of the circle = π(100)
Area of the circle = 3.14(100)
Area of the circle = 314 sq. units
Area of a sector = theta/360 * πr²
Area of the unshaded sector = 130/360 * 314
Area of the unshaded sector = 13/36 * 314
Area of the unshaded sector = 113.389 sq units
Area of the unshaded sector = 113.4 sq units
Area of the shaded sector = Area of circle - Area of the unshaded sector
Area of the shaded sector = 314 - 113.89
Area of the shaded sector = 200.6sq. units
