Respuesta :

Answer:

  r = √(A/π), d = 2r

Step-by-step explanation:

You want the working that gives you radius and diameter from the area of a circle.

Area

The area formula is ...

  A = πr²

Solving for r, we have ...

  A/π = r²

  r = √(A/π)

The attachment shows the arithmetic for the given area values.

  • A = 400.95 in² ⇒ r = 11.3 in, d = 22.6 in
  • A = 1157.53 yd² ⇒ r = 19.2 yd, d = 38.4 yd (note units)
  • A = 333.12 in² ⇒ r = 10.3 in

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