Answer:
32π + 96 [tex]cm^{2}[/tex] = exact area
196.48 [tex]cm^{2}[/tex] = area to the nearest 100th
Step-by-step explanation:
Area of semicircle = 1/2π[tex]r^{2}[/tex] = 1/2π[tex]8^{2}[/tex] = 1/2π(64) = 32π
Area of triangle = 1/2bh = 1/2(16)(12) = 96
Total area = 32π + 96 [tex]cm^{2}[/tex]
or 100.48 + 96 = 196.48 [tex]cm^{2}[/tex]
32π + 96 cm² = exact area
196.48 cm² = area to the nearest 100th
A semicircle is a one-dimensional locus of points that makes up one half of a circle in mathematics. A semicircle's whole arc is always 180 degrees long. It just has one symmetry line.
Given
Area of semicircle = 1/2πr² = 1/2π(8)² = 1/2π(64) = 32π
Area of triangle = 1/2bh = 1/2(16)(12) = 96
Total area = 32π + 96 cm²
or 100.48 + 96 = 196.48 cm²
To know more about semi-circles refer to:
https://brainly.com/question/10653168
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