Set Up and Evaluate a Line Integral to Find the Area

Multiple Choice

Set up and evaluate a line integral to find the area of the region R bounded by the graph of $x ^ { 2 } + y ^ { 2 } = 25$

A) $\frac { 1 } { 2 } \int _ { C } x d y - y d x = \iint _ { R } 1 d A = 25 \pi$ where $C : x ^ { 2 } + y ^ { 2 } = 25$
B) $\frac { 1 } { 2 } \int _ { C } y d x = \iint _ { R } 1 d A = 25 \pi$ where $C : x ^ { 2 } + y ^ { 2 } = 25$
C) $\int _ { C } x d y = \iint _ { R } 1 d A = 10 \pi$ where $C : x ^ { 2 } + y ^ { 2 } = 25$
D) $\int _ { C } x d y - y d x = \iint _ { R } 1 d A = 25 \pi$ where $C : x ^ { 2 } + y ^ { 2 } = 25$
E) $\frac { 1 } { 2 } \int _ { C } x d y = \iint _ { R } 1 d A = 10 \pi$ where $C : x ^ { 2 } + y ^ { 2 } = 25$