Multiple choice

If the ratio of area of two circles be $ \displaystyle \frac{36 }{64} $ what is the ratio of their radii?

  1. $ \displaystyle \frac{6 }{8} $
  2. $ \displaystyle \frac{8}{6} $
  3. $ \displaystyle \frac{36 }{64} $
  4. $ \displaystyle \frac{64}{36} $
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The ratio of the areas of two circles is the square of the ratio of their radii. If A1/A2 = 36/64, then r1/r2 = sqrt(36/64) = 6/8.

AI explanation

The area of a circle is calculated using the formula pi multiplied by the square of the radius. Because the area ratio is 36 divided by 64, the ratio of the squared radii is also 36 divided by 64. Taking the square root of both the numerator 36 and the denominator 64 gives the radius ratio of 6 divided by 8.

Keep practicing — related questions