Sketch the Region Whose Area Is Given by the Definite $\int _ { - a } ^ { a } \sqrt { a ^ { 2 } - z ^ { 2 } } d z$

question 1

Multiple Choice

Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. $\int _ { - a } ^ { a } \sqrt { a ^ { 2 } - z ^ { 2 } } d z$

• A) \(\frac { \pi a ^ { 2 } } { 2 }\)
• B) \(\frac { \pi a ^ { 2 } } { 6 }\)
• C) \(\pi a ^ { 2 }\)
• D) \(\frac { \pi a ^ { 2 } } { 3 }\)
• E) \(\frac { \pi a ^ { 2 } } { 4 }\)

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