The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.
Step-by-step explanation:
The given is,
Given diagram is combination of Rectangle and Semi circle.
Step:1
Res the attachment,
Area of given diagram = Area of A + Area of B..............(1)
Step:2
For A,
The A section in the given diagram is semi circle,
Diameter of semi circle = Total distance - ( 2+3)
( ∵ 2, 3 are top distance in the given diagram)
[tex]= 10 - 5[/tex]
Diameter, d = 5 cm
Radius, [tex]r = \frac{d}{2}[/tex]
[tex]r = \frac{5}{2}[/tex]
r = 2.5 cm
Area, [tex]A_{A} = \frac {\pi r^{2} }{2}[/tex]........................(2)
[tex]A_{A} = \frac {\pi (2.5)^{2} }{2}[/tex]
[tex]= \frac {\pi ( 6.25) }{2}[/tex]
[tex]= \frac{19.63}{2}[/tex]
[tex]A_{A} = 9.8174 cm^{2}[/tex]
Step:3
For B,
Area of rectangle is,
[tex]A_{B} =lb[/tex].....................(3)
Where, l - Length = 10 cm
b - Width = 2 cm
Equation (3) become,
[tex]= (10)(2)[/tex]
[tex]= 20[/tex]
Area of B, [tex]A_{B}[/tex] = 20 [tex]cm^{2}[/tex]
Step:4
From the equation (1),
Area of given diagram = 20+ 9.81747
Area = 29.817 square centimeters
Result:
The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.
