Scale Factor Formula:
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Scale factor is a number that compares the size of a new object to the size of an original object. It tells us how much bigger or smaller something has become.
The calculator uses the scale factor formula:
Where:
Explanation: If the scale factor is greater than 1, the new object is larger. If it's less than 1, the new object is smaller.
Details: Scale factors are used in maps, models, blueprints, and when resizing images. They help maintain accurate proportions when changing sizes.
Tips: Enter both dimensions in the same units (like centimeters or inches). Both numbers must be positive.
Q1: What does a scale factor of 2 mean?
A: It means the new object is twice as big as the original in all dimensions.
Q2: What does a scale factor of 0.5 mean?
A: It means the new object is half the size of the original.
Q3: Can scale factor be negative?
A: No, sizes can't be negative, so scale factors are always positive numbers.
Q4: How is scale factor different from ratio?
A: Scale factor compares sizes directly, while ratios compare quantities that might be different things.
Q5: Where do we use scale factors in real life?
A: In maps (where 1cm might equal 1km), model cars/toys, and when architects make small models of buildings.