Answer:
<u>The correct option for the first blank is A. (A/pi) to the power of 1/2</u>
<u>The correct option for the second blank is A. 4.15</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the questions correctly:
Area of a circle (A) = π * r², where r = radius
2. The formula to find r is ________________:
A = π * r²
r² = A/π
√r² = √ A/π
r = √A/π
<u>r = A/π∧(1/2) or (A/pi) to the power of 1/2. </u>
<u>The correct option for the first blank is A. (A/pi) to the power of 1/2</u>
3. if A = 54 centimeters squared, and pi = 22/7, r is _ centimeters.
We use the formula we got for the first blank, this way:
r = (A/pi) to the power of 1/2
Replacing with the real values, we have:
r = (54/(22/7)) to the power of 1/2
r = 17.2 to the power of 1/2
r = √17.2 = 4.15 (Rounding to the next hundredth)
<u>The correct option for the second blank is A. 4.15</u>
