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The area of largest triangle that can be inscribed in a semicircle of radius R cm is__________?

Correct answer: B. R2 cm2

  • A. 2R cm2
  • B. R2 cm2
  • C. 1/2 R2 cm2
  • D. 2 R2 cm2

Explanation

The largest triangle uses the semicircle's diameter as its base, 2R cm, and reaches the arc at height R cm. Its area is 1/2 × 2R cm × R cm = R² cm². The likely trap is 2R cm², which is a length expression and does not have the correct area dimension.

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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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