Question

The area of a smaller circle is one twenty-fifth of the area of a larger circle. What is the ratio of the radius of the larger circle to the radius of the smaller circle?
E. 1 : 25
F. 5 : 1
G. 1 : 5
H. None of the above

Answer 1

Answer:

$f) \: r2 \div r1 \: = 5 \div 1$

Step-by-step explanation:

$\frac{a1}{a2} = \frac{1}{25} = \frac{\pi \times (r1)^{2} }{\pi \times (r2)^{2}}$

${(\frac{r2}{r1})}^{2} = 25$

$\frac{r2}{r1} = 5$