Compute This Definite Integral Using Geometric Methods $\int _ { 0 } ^ { 4 } \sqrt { 4 - ( x - 2 ) ^ { 2 } } d x$

Multiple Choice

Compute this definite integral using geometric methods: $\int _ { 0 } ^ { 4 } \sqrt { 4 - ( x - 2 ) ^ { 2 } } d x$ ?

A) $\pi$
B) $2 \pi$
C) $4 \pi$
D) $6 \pi$
E) $8 \pi$