Prev Question
Next Question

A circular logo is enlarged to fit the lid of a jar. The new diameter is 45% larger than the original. By what percentage has the area of the logo increased?

A. 17.5%

B. 32.5%

C. 22.5%

D. 12.5%

Explanation:

The area of a circle is given by the formula

By what percentage has the area of the logo increased? 1

where r is the radius of the circle. The radius of a circle is its diameter divided by two so

By what percentage has the area of the logo increased? 2

So, if the diameter of the logo increases by 45%, the radius increases by 45/2 = 22.5% which, in turn, increases the total area by 22.5%.

Prev Question
Next Question

Leave a Reply

Your email address will not be published. Required fields are marked *