Solve
-Locate the Centroid of a Semicircular Region B) C) $\bar { y } = \frac { V } { 2 \pi } = \frac { ( 4 / 3 ) \pi a ^ { 3 } } { 2 \pi a ^ { 2 } } = \frac { 2 } { 3 } a$

question 90

Multiple Choice

Solve.
-Locate the centroid of a semicircular region.

• A) \(\bar { y } = \frac { V } { 2 \pi } = \frac { ( 4 / 3 ) \pi \mathrm { a } ^ { 2 } } { 2 \pi ( 1 / 2 ) \pi \mathrm { a } ^ { 2 } } = \frac { 4 } { 3 } \mathrm { a }\)
• B) \(\bar { y } = \frac { V } { 2 \pi } = \frac { \pi \mathrm { a } ^ { 2 } } { 2 \pi ( 1 / 2 ) \pi \mathrm { a } ^ { 2 } } = \frac { 1 } { \pi } \mathrm { a }\)
• C) \(\bar { y } = \frac { V } { 2 \pi } = \frac { ( 4 / 3 ) \pi a ^ { 3 } } { 2 \pi a ^ { 2 } } = \frac { 2 } { 3 } a\)
• D) \(\bar { y } = \frac { V } { 2 \pi } = \frac { ( 4 / 3 ) \pi a ^ { 3 } } { 2 \pi ( 1 / 2 ) \pi a ^ { 2 } } = \frac { 4 } { 3 \pi } a\)

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