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A circle and a rectangle have the same perimeter. The sides of the rectangle are 18cm and 26cm.What is the area of the circle?

Correct answer: C. 616cm2

  • A. 88cm2
  • B. 154cm2
  • C. 616cm2
  • D. 1250cm2

Explanation

The rectangle's perimeter is 2(18 cm + 26 cm) = 88 cm, so the circle's circumference is also 88 cm. Its radius is 88 cm ÷ (2 × 22/7) = 14 cm, giving area = 22/7 × 14 cm × 14 cm = 616 cm². The likely trap is 154 cm², which is the area of a circle with radius 7 cm rather than 14 cm.

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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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