The area of circle b is 25 times greater than the area of circle a. the radius of circle a is 3. what is the radius of circle b?

For similar figures, the ratio of areas is the square of the ratio of linear dimensions (such as radius).

We assume that by "25 times greater than" you mean "25 times". If that is the case, the radius of circle B is 3*√25 = 15 units.


If you really mean the area of circle B is 26 times that of circle A (25 times greater), then the radius of circle B is 3*√26 ≈ 15.297 units.

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.