find the perimeter and the area of the figure, shown. ( Take π = 22/7)
Answers
Perimeter Of Figure = 88 cm
Area Of Figure = 504 cm²
Step-by-step explanation:
GIVEN
Side = 14 cm
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TO FIND
Perimeter Of Figure
Area Of Figure
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Perimeter Of Figure
We know that,
Perimeter Of Semicircle = ½ × ( π × d ) + d
Perimeter Of Semicircle = ½ × ( 22/7 × 14 ) + 14
Perimeter Of Semicircle = ½ × ( 22 × 2 ) + 14
Perimeter Of Semicircle = ½ × 44 + 14
Perimeter Of Semicircle = 22 + 14
Perimeter Of Semicircle = 36
Perimeter Of Semicircle = 36 cm
We know that,
Perimeter Of Figure = ( 4 × Perimeter Of Semicircle ) - ( 4 × Diameter )
Perimeter Of Figure = ( 4 × 36 ) - ( 4 × Diameter )
Perimeter Of Figure = 144 - 56
Perimeter Of Figure = 88
Perimeter Of Figure = 88 cm
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Area Of Figure
We know that,
Area Of Square = Side × Side = Side²
Area Of Square = 14²
Area Of Square = 196
Area Of Square = 196 cm²
We know that,
Area Of Semicircle = ½ × π × r²
Here,
Radius = ½ × Diameter = ½ × 14 = 7 cm
We know that,
Area Of Semicircle = ½ × π × r²
Area Of Semicircle = ½ × 22/7 × 7²
Area Of Semicircle = ½ × 22/7 × 49
Area Of Semicircle = ½ × 22 × 7
Area Of Semicircle = ½ × 22 × 7
Area Of Semicircle = ½ × 154
Area Of Semicircle = 77
Area Of Semicircle = 77 cm²
We know that,
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