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The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.

Correct answer: C. 4312 sq m

  • A. 4192 sq m
  • B. 4304 sq m
  • C. 4312 sq m
  • D. 4360 sq m

Explanation

Using C = 2πr, the radii are 264 m ÷ (2 x 22/7) = 42 m and 352 m ÷ (2 x 22/7) = 56 m. The difference in areas is π(56^2 - 42^2) sq.m = (22/7)(1,372) sq.m = 4,312 sq.m. Option b is a likely arithmetic error when subtracting the squared radii.

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Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.

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