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sid071

Hey there!!

  • The area of a circle = πr²

The area is given as 196π

Hence,

196π = πr²

... r²= 196

... r = √196

... r = 14

Hence, the radius is 14 cm.

Hope it helps!

Answer:


Step-by-step explanation:

The area formula for a circle is A = pi*r^2.  Solve this for the radius (raio):

r^2 = A / pi, or r = plus or minus √(A/pi).

Here, r =  +√(A/pi) = +√( 196 pi cm^2   /   pi ) = +7.9 cm.

Check:  A = pi*r^2.  Does pi*(7.9 cm)^2 = pi*196 cm^2?   Yes.

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