Compute This Definite Integral Using Geometric Methods $\int _ { - 5 } ^ { 5 } - \sqrt { 25 - x ^ { 2 } } d x$

Multiple Choice

Compute this definite integral using geometric methods: $\int _ { - 5 } ^ { 5 } - \sqrt { 25 - x ^ { 2 } } d x$ .

A) $25 \pi / 2$
B) $25 \pi$
C) $- 25 \pi / 2$
D) $- 25 \pi$
E) $50 \pi$