Question

complete the table for the relationship between the radius and the area of a circle.

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius.

Step2: Calculate the area when \(r = 1\)

Substitute \(r = 1\) into the formula: \(A=\pi\times(1)^{2}=\pi\approx 3.14\)

Step3: Calculate the area when \(r = 2\)

Substitute \(r = 2\) into the formula: \(A=\pi\times(2)^{2}=4\pi\approx 12.56\)

Step4: Calculate the area when \(r = 3\)

Substitute \(r = 3\) into the formula: \(A=\pi\times(3)^{2}=9\pi\approx 28.26\)

Answer:

Radius (units)	Area (sq. units)
2	\(\approx12.56\)
3	\(\approx28.26\)