15. Three semicircles of radius 1 are constructed on diameter AB of a semicircle of radius 2. The centers of the small semicircl
es divide AB into four line segments of equal length. What is the area of the region that lies inside the large semicircle but outside the small semicircles?
1 answer:
Answer:
The area that remains is 4.201 m²
Explanation:
Provided that
AB=D= 4 m (R=2 m)
The area of the half-circle AB is
A=2π
The area of the smaller half-circle is
a=5π/6 + 2√3/4 m²
a=5π/6 + √3/2 m²
<pThus, the remaining area = A - a= 2π - (5π/6 + √3/2) m²
The remaining area is expressed as 2π - (5π/6 + √3/2) m²
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