Answer:
r = √(A/π), d = 2r
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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