SAT Math

Category - Geometry and Measurement

How many times is the area of greater than the area of ?
  1. 2
  2. 3
  3. 4
  4. 5
  5. 6
Explanation
Answer: C - The area of k_1 is four times greater than the area of k_2. Radius of k_1 is twice as long as radius of k_2.
r_1=2r_2
A_(k_1 )/A_(k_2 ) =(r_1^2 π)/(r_2^2 π)=(2r_2 )^2/(r_2^2 )=(4r_2^2)/(r_2^2 )=4
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