The area of the given figure is 576 cm sq.
The perimeter of the given figure is 96 cm.
Step-by-step explanation:
The shape consists of one semicircle and one square which is cut by a semicircle.
To find Area:
Find the area of semicircle= (πr^2)/2
where r is the radius= diameter/2= 24/2= 12 cm
Area of semicircle= π(12)(12)/2= 144π/2= 72π cm sq.
Find the area of square= a^2
where a is the side of square, a=24 cm.
Area of the square= 24*24= 576 cm sq.
To find the total area of the given figure,
Area of the figure= Area of semicircle+(area of square- area of semicircle)
= 72π+576-72π =576 cm sq.
To find perimeter:
Perimeter of semicircle= (2πr)/2
= (2*12*π)/2= 12π cm
Perimeter of square= 4a =4*24 =96 cm
Perimeter of the given figure= perimeter of semicircle+(perimeter of square- perimeter of semicircle)
= 12π+96+12π =96 cm.
