find the area and perimeter of the figure
Answers
Area Of Figure = 504 cm²
Perimeter Of Figure = 88 cm
Step-by-step explanation:
GIVEN
Side = 14 cm
Diameter = 14 cm
Radius = Diameter / 2 = 14 / 2 = 7 cm
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TO FIND
Area Of Figure
Perimeter Of Figure
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Area Of Figure
We know that,
Area Of Square = Side × Side = Side²
Area Of Square = Side²
Area Of Square = 14²
Area Of Square = 196
Area Of Square = 196 cm²
We know that,
Area Of Semicircle = ½ × ( π × r² )
Area Of Semicircle = ½ × ( 22/7 × 7² )
Area Of Semicircle = ½ × ( 3.14285714 × 49 )
Area Of Semicircle = ½ × 154
Area Of Semicircle = 77
Area Of Semicircle = 77 cm²
Area Of Figure = Area Of Square + ( 4 × Area Of Semicircle )
Area Of Figure = 196 + ( 4 × 77 )
Area Of Figure = 196 + 308
Area Of Figure = 504
Area Of Figure = 504 cm²
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Perimeter Of Figure
We know that,
Perimeter Of Semicircle = π × r + 2 × r
Perimeter Of Semicircle = 22/7 × 7 + 2 × 7
Perimeter Of Semicircle = 22 + 14
Perimeter Of Semicircle = 36
Perimeter Of Semicircle = 36 cm
Perimeter Of Figure = ( 4 × Perimeter Of Semicircle ) - ( 4 × Diameter )
Perimeter Of Figure = ( 4 × 36 ) - ( 4 × 14 )
Perimeter Of Figure = 144 - 56
Perimeter Of Figure = 88