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The area of a circle is increased by 22Sq.cm when it's radius is increased by 1cm. The original radius of the circle is_________?

Correct answer: C. 3 cm

  • A. 6cm
  • B. 3.2 cm
  • C. 3 cm
  • D. 3.5 cm

Explanation

The increase in area is pi[(r + 1 cm)² - r²] = pi(2r + 1 cm) = 22 cm². Using pi = 22/7 gives 2r + 1 cm = 7 cm, so 2r = 6 cm and r = 3 cm. The likely trap is 3.5 cm, which can result from mishandling the added 1 cm in the squared-radius formula.

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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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