cassieaputi0 cassieaputi0
  • 21-02-2024
  • Mathematics
contestada

please help me find the area of this composite figure in terms of Pi​

please help me find the area of this composite figure in terms of Pi class=

Respuesta :

dashataran
dashataran dashataran
  • 21-02-2024

Answer:

[tex]\dfrac{9\pi+120}{4}[/tex]

Step-by-step explanation:

[tex]\text{Solution: }\\\text{Area of composite figure = Area of two rectangles + Area of quarter circle}\\\text{}\qquad\qquad\qquad\qquad\qquad\quad\text{}=lb+lb+\dfrac{1}{4}\pi r^2\\\text{}\qquad\qquad\qquad\qquad\qquad\quad\text{}=5\times3+5\times3+\dfrac{1}{4}\pi (3)^2=30+\dfrac{9}{4}\pi\\[/tex]

[tex]\therefore\ \text{Area of composite figure = }\dfrac{9\pi+120}{4}[/tex]

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