Math CentralQuandaries & Queries


Question from mahwish, a student:

A circular logo is enlarged to fit the lid of a jar. The new
diameter is 50 per cent larger than the original. By what percentage
has the area of the logo increased?

Hello Mahwish,

Recall the formula for the area of a circle in terms of the diameter:  area

The new diameter for the logo is 50% larger than the original, meaning  dnew

The area of the original logo is Aoriginal

The area of the new logo is,


What does this mean in terms of percentages?


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