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a circle is drawn within a square as shown.

what is the best approximation for the area of the shaded region?

use 3.14 to approximate pi.

21.5 cm²

78.5 cm²

100 cm²

178.5 cm²

The answer is 21.5 cm2

Go by it step by step.
First, you know you are given the height, which can be used to find the area of the square. 
10 × 10 = 100 ⇒ Keep this in mind, for we would need this for getting the final answer.

Next, we can use the given height of 10cm to use as the diameter. Since the formula for an area of a circle is A=πr², we would have to divide the diameter in half to get the radius.
→10 ÷ 2 = 5
Then, square the 5 with the power of 2.
→5² = 25
After that, multiply the newly squared number to π, or 3.14.
→25 × 3.15 = 78.5
Finally, use the 100 (area of the square) by subtracting 78.5 from it.
→100 - 78.5 = 21.5
Your answer is 21.5 cm²!

I truly hope this helped!