Changing Dimensions Perimeter and Area Worksheet Form
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People also ask
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How changes in dimensions affect area & perimeter?
Effect on Area By doubling the dimension R, we'll actually change the area by a factor of 4 (it will become four times as large). Notice that this same change to the radius would only change the original circle's perimeter (2πR) by a factor of 2.
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How tripling the radius affects the surface area of the right cylinder?
By tripling the radius of a right cylinder, the surface area becomes nine times the original due to the quadratic term, but there is also a linear increase in relation to the height. Thus, the surface area may increase anywhere from three to nine times, depending upon the height of the cylinder.
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What happens to the area if the radius is tripled?
If the radius triples, that's a factor of 3. The square of 3 is 9, so if the radius triples the area is multiplied by 9. You can see this goes up rather quickly: multiply the radius by 5, and the area is multiplied by 25. If the radius is multiplied by 100, the area is multiplied by 10000, etc.
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How does doubling the radius affect the area?
Area of a circle is proportional to the square of the radius hence if the radius is doubled, area becomes 4 times.
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How does dilation affect perimeter and area?
When shapes are dilated (when they get bigger or smaller), perimeter changes linearly—in direct proportion with length—while area changes quadratically—in proportion to length squared.
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Why does tripling the radius have a greater effect on the area than it does on the circumference?
e) Tripling the radius has a greater effect on the area since the radius value is squared when calculating the area, whereas it is not squared when calculating the circumference.
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What happens to the circumference when you triple the radius?
Explanation: Let r be the original radius. Finally the circumference will be tripled.
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How to find dimensions with perimeter and area?
Answer: Solving the two equations: Area = L × B and Perimeter = 2 × (L + B), we will get the length and breadth of the rectangle. We will use the area and perimeter of the rectangle to find the length and breadth of the rectangle.
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