SOLUTION: Find the area of the larger circle in cm^2 while being given that the radius of the inner circle is √2 cm. Dear tutor, Please be sure to view the diagram here https://ibb.c

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Find the area of the larger circle in cm^2 while being given that the radius of the inner circle is √2 cm. Dear tutor, Please be sure to view the diagram here https://ibb.c      Log On

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Question 1199274: Find the area of the larger circle in cm^2 while being given that the radius of the inner circle is √2 cm.
Dear tutor,
Please be sure to view the diagram here
https://ibb.co/PjYkRmL
Thank you very much.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Since the radius of the smaller circle is  sqrt%282%29 cm  (given),  it means that the distances
from its center to x- and y-axes are equal to r = sqrt%282%29 cm.


Hence, the center of the small circle is at the distance  d = sqrt%28%28sqrt%282%29%29%5E2+%2B+%28sqrt%282%29%29%5E2%29 = 2 cm
from the origin of the coordinate system.


It implies that the radius of the large circle is  R = 2+%2B+sqrt%282%29 cm.


Hence, the area of the large circle is option C).

Solved, with full explanations.