ratthicc
ratthicc ratthicc
  • 08-12-2020
  • Mathematics
contestada

what is the area of a 1/2 circle with a diameter of 14

Respuesta :

kimkalenkim kimkalenkim
  • 08-12-2020

Answer:

76.969 units squared

or

49pi/2

or

24.5 pi

Step-by-step explanation:

The equation for the area of a complete circle is

[tex]A = \pi r^2[/tex]

Since there is only half a circle, the equation is divided by 2

[tex]\frac{A}{2}=\frac{\pi r^2}{2}[/tex]

Given diameter 14, radius would be 14/2 = 7 units

Plug into the equation for a half circle to solve for area

[tex]\frac{\pi (7)^2}{2} = \frac{49\pi }{2} =24.5\pi = 76.969 units^2[/tex]

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