Engineering Board Exam Reviewer · Areas of Plane Figures · hard
Three circles of radius 4 are mutually tangent. Find the area of the curvilinear region enclosed between them.
- 27.71
- 2.58
- 25.13
- 5.16
Answer
B. 2.58
Solution
The centers form an equilateral triangle of side 8 with area 16 3=27.71. Subtract three 60° sectors, 3· 16π(16)=8π=25.13. The region is 2.58.
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