Taylor Used a Regular Hexagonal Stock with a 2-In $5.196 \mathrm { in } ^ { 2 }$

question 11

Multiple Choice

Taylor used a regular hexagonal stock with a 2-in. distance across the flats to mill a new hexagonal rod as illustrated in the cross-section. Assume the vertices of the inside hexagon are the midpoints of the original hexagon's sides. What is the area milled off the original hexagon to create the new one?

• A) \(5.196 \mathrm { in } ^ { 2 }\)
• B) \(0.137 \mathrm { in } ^ { 2 }\)
• C) \(0.866 \mathrm { in } ^ { 2 }\)
• D) \(2.598 \mathrm { in } ^ { 2 }\)