Answer
Area of the decoration = 59.0 square inches
Step-by-step explanation
The decoration covers (1/9) of the whole tire.
So, the area of the ecoration will be (1/9) of the total area of the circular tire.
Area of a circle is given as
Area = (πd²/4) or πr²
where
π = pi = (22/7)
d = diameter of the circle = 26 inches
r = radius of the circle = Half of the diameter = ½ (26) = 13 inches
Area of the tire = (πd²/4) or πr²
Area of the tire = [(22/7) × 26²/4) or [(22/7) × 13²]
Area of the tire = 531.14 square inches
Area of the decoration = (1/9) of the area of the tire
Area of the decoration = (1/9) × 531.14 = 59.0 square inches
Hope this Helps!!!