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If the diameter of a circle is increased by 100 % its area is increased by:_________?

Correct answer: C. 300%

  • A. 100%
  • B. 200%
  • C. 300%
  • D. 400%

Explanation

Increasing the diameter by 100% makes it twice its original value, so the radius also becomes twice as large. Area depends on the square of the radius, so the new area is 2² = 4 times the original, an increase of 4 - 1 = 300%; option b, 200%, treats area as directly proportional to diameter.

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About Area and Volume

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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