Compute This Definite Integral Using Geometric Methods $\int _ { - 7 } ^ { - 4 } \sqrt { 9 - ( x + 4 ) ^ { 2 } } d x$

Multiple Choice

Compute this definite integral using geometric methods: $\int _ { - 7 } ^ { - 4 } \sqrt { 9 - ( x + 4 ) ^ { 2 } } d x$ .

A) $9 \pi / 4$
B) $9 \pi / 2$
C) $9 \pi$
D) $- 9 \pi / 2$
E) $- 9 \pi / 4$