Multiple choice

(\text{There are two concentric circles with outer circle of radius 24 cm. If the area of the inner circles is one third of the area between the two circles, then find the ratio of the circumference of the outer circle to that of the inner circle.})

  1. $2 : 1$
  2. $3 : 1$
  3. $2 : 3$
  4. $3 : 2$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let outer radius R=24 cm and inner radius r. Given inner area = 1/3 of area between circles: πr² = (1/3)π(R² - r²). Simplifying: 3r² = R² - r², so 4r² = R², giving r = R/2. Circumference ratio = 2πR/2πr = R/r = 2:1. Option A is correct.

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