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.Com
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)   (Show Source): You can put this solution on YOUR website!
.

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


Hence, the center of the small circle is at the distance  d =  = 2 cm
from the origin of the coordinate system.


It implies that the radius of the large circle is  R =  cm.


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

Solved, with full explanations.



RELATED QUESTIONS

Find the area, in cm^2, of a circle with radius {{{ (sqrt( 3 ))/pi^2 }}}... (answered by Alan3354)
Two concentric circles are drawn so that the inner circle is shaded. The shaded area is... (answered by josgarithmetic)
[ Find the area enclosed between two concentric circles of radii 6.3 cm and 8.4 cm. A... (answered by TimothyLamb)
Find the area of the larger circle in cm^2 if r=sqrt 2 cm.... (answered by ikleyn)
Find the area of the larger circle in {{{ cm^2 }}} if {{{ r=sqrt(2) }}} cm.... (answered by greenestamps,ikleyn,Edwin McCravy)
In a circle, the radius= (x+2) cm. Find the area of the circle in terms of... (answered by unlockmath)
Dear Tutor, may you please help me on this problem? May you also show me the steps so I... (answered by neatmath)
The area of a circle is 28 π cm^2. Find the area of a circle with a radius half the... (answered by josmiceli,Alan3354)
The radius of a circle is (x + 2) cm. Find the area of the circle in terms of the... (answered by Alan3354)