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tatuchka [14]
3 years ago
8

The area of circle B is 121 times greater than the area of circle A. The radius of circle B is 44. What is the radius of circle

A?
A) 2.75

B) 4

C) 44

D) 88
Mathematics
1 answer:
xxMikexx [17]3 years ago
5 0
<em>Formula:</em>
\bigg( \dfrac{radius_1}{radius_2} \bigg)^2 =  \dfrac{area_1}{area_2}

<em>Plug in the values:</em>
\bigg( \dfrac{r}{44} \bigg)^2 = \dfrac{1}{121}

<em>Simplify LHS:</em>
\dfrac{r^2}{1936}  = \dfrac{1}{121}

<em>Multiply by 1936 on both sides:</em>
r^2  = \dfrac{1936}{121}&#10;

<em>Simplify RHS:</em>
r^2 = 16

<em>Square root both sides:</em>
r = 4

Answer: The radius is 4 units. (Answer B)
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