The momentum of a variable is represented by the rate of change. The average rate of change in the area as the radius changes from 2.5 to 5.5 feet is 25.1327ft² per ft.
The momentum of a variable is represented by the rate of change, which is used to quantitatively express the percentage change in value over a specific period of time.
The area of the circle when the radius of the circle is 2.5 feet is,
Area of circle = π × (2.5 feet)²
= 19.635 ft²
The area of the circle when the radius of the circle is 5.5 feet is,
Area of circle = π × (5.5 feet)²
= 95.0332 ft²
Now, the average rate of change in the area as the radius changes from 2.5 to 5.5 feet is,
Average rate of change = (Change in the area)/(Change in radius)
= (95.0332 ft² - 19.635 ft²) / (5.5 ft - 2.5 ft)
= 25.1327ft² per ft
Hence, the average rate of change in the area as the radius changes from 2.5 to 5.5 feet is 25.1327ft² per ft.
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