Question

what is the area of the following circle? either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.

Explanation:

Step1: Recall the formula for the area of a circle

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

Step2: Substitute the given radius into the formula

We are given that the radius \( r = 1 \). Substituting \( r = 1 \) into the formula \( A=\pi r^{2} \), we get \( A=\pi\times(1)^{2} \).

Step3: Simplify the expression

Simplifying \( \pi\times(1)^{2} \), we know that \( 1^{2}=1 \), so \( A = \pi \). If we use \( 3.14 \) for \( \pi \), then \( A=3.14\times1^{2}=3.14\times 1 = 3.14 \).

Answer:

If we use the exact form in terms of \( \pi \), the area is \( \pi \) square units. If we use \( 3.14 \) for \( \pi \), the area is \( 3.14 \) square units.