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The center of gravity of a semicircle lies at a distance of _______ from its base measured along the vertical radius.
Question

The center of gravity of a semicircle lies at a distance of _______ from its base measured along the vertical radius.

A.

8r/3π

B.

3r/4π

C.

4r/3π

D.

3r/8π

Correct option is C

The center of gravity (centroid) of a semicircle of radius (r) is located at a distance of 4r/3π from the flat (base) side along the vertical radius. This distance is derived from the geometric properties of a semicircle and is a fundamental result in statics and mechanics of materials.
Thus, the correct distance of the center of gravity from the base of a semicircle is 4r/3π.

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