Answer:
The answer is 2(√(100)/√(π)) cm.
Explanation:
Since the area of a circle is π(r)^2, you can write an algebraic equation to find the radius:
π(r)^2 = 100
Simplify this by dividing both sides by π:
r^2 = 100/π
Then take the square root of both sides:
r = ±(√(100)/√(π))
Since radius can't be negative, the ± (plus-or-minus) becomes a plus.
r = √(100)/√(π)
Now, since the radius is half the diameter, you can write another algebraic expression:
2r=d
If you know algebra, you can solve solve the rest from here.
Plug in √(100)/√(π) for r:
2(√(100)/√(π)) = d
Bam, you're done.
(not using the equation feature because I don't really know how yet. Will edit later)