→ Area of the polygon = Area of Square + Area of semi-circle
Area of square :
→ Area of square = Side × Side
→ Area of square = 6 m × 6 m
→ Area of square = 36 m [tex] \sf ^2[/tex]
Area of semi-circle :
→ Area of semi-circle = [tex] \sf \dfrac{Area \: of \: circle}{2} [/tex]
→ Area of semi-circle = [tex] \sf \dfrac{\pi r^2}{2} [/tex]
→ Area of semi-circle = [tex] \sf \dfrac{\pi r^2}{2} [/tex]
→ Area of semi-circle = [tex] \sf \dfrac{3.14 \times (3)^2}{2} [/tex]
→ Area of semi-circle = [tex] \sf \dfrac{3.14 \times 3 \times 3}{2} [/tex]
→ Area of semi-circle = [tex] \sf \dfrac{28.26}{2} [/tex]
→ Area of semi-circle = 14.13 m[tex] \sf ^2[/tex]
⇒ Area of shape = ( 36 + 14.13 ) m[tex] \sf ^2[/tex]
⇒ Area of shape = 50.13 m[tex] \sf ^2[/tex]
Therefore,
- Area of the shape is 50.13 m[tex] \sf ^2[/tex].
