Sketch the Region Whose Area Is Given by the Definite $\int _ { 0 } ^ { 9 } \sqrt { 81 - t ^ { 2 } } d t$

question 11

Multiple Choice

Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. $\int _ { 0 } ^ { 9 } \sqrt { 81 - t ^ { 2 } } d t$

• A) \(\frac { 81 } { 4 } \pi\)
• B) \(\frac { 81 } { 8 } \pi\)
• C) \(\frac { 81 } { 2 } \pi\)
• D) \(\frac { 81 } { 4 }\)
• E) \(81 \pi\)

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