Question
A semicircle is inscribed in a rectangle with area 144 square centimeters. In square cm, what is the area of the semicircle?
Answers
Bosnian
The question does not make sense.
You can construct an infinite number of
rectangles that have an area of 144 cm².
141 cm x 1 cm
72 cm x 2 cm
36 cm x 4 cm etc.
You can construct an infinite number of
rectangles that have an area of 144 cm².
141 cm x 1 cm
72 cm x 2 cm
36 cm x 4 cm etc.
PT
They say it is 36Pi sq.cm
Bosnian
If whole semicircle lie in rectangle then width is equal radius of semicircle.
W = r
Length is equal diametar of semicircle.
L = d = 2 r
Area of rectanlgle:
A = L ∙ W
144 = 2 r ∙ r
144 = 2 r²
Divide both sides by 2
72 = r²
r² = 72
Area of circle:
A = r² ∙ π
Area of semicircle:
A = r² ∙ π / 2
A = 72 ∙ π / 2
A = 36 π cm²
W = r
Length is equal diametar of semicircle.
L = d = 2 r
Area of rectanlgle:
A = L ∙ W
144 = 2 r ∙ r
144 = 2 r²
Divide both sides by 2
72 = r²
r² = 72
Area of circle:
A = r² ∙ π
Area of semicircle:
A = r² ∙ π / 2
A = 72 ∙ π / 2
A = 36 π cm²