Multiple choice

The area of the garden formed by two concentric circles with circumferences 44m and 176 m respectively is?

  1. 2390m²

  2. 2590m²

  3. 2310m²

  4. 2490m²
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

2*pi*R = 176 -> R = 28. 2*pi*r = 44 -> r = 7. Area = pi*(R^2 - r^2) = (22/7)(28^2 - 7^2) = (22/7)(784 - 49) = (22/7)*735 = 22*105 = 2310.

AI explanation

The area of the garden is the area of the annular region between the two concentric circles, calculated as pi times the difference of their squared radii. Using the circumferences of 44 m and 176 m, the respective radii are 7 m and 28 m. The area is (22/7) times (28 squared minus 7 squared), which equals (22/7) times 735 to yield 2310 m2.

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