Question

to the nearest hundredth, what is the area of a circle with a radius of 3 units? a. 29.61 square units b. 9.42 square units c. 28.27 square units d. 18.85 square units

Explanation:

Step1: Recall circle area formula

The area of a circle is given by $A = \pi r^2$, where $r$ is the radius.

Step2: Substitute radius value

Substitute $r = 3$ into the formula:
$A = \pi (3)^2 = 9\pi$

Step3: Calculate numerical value

Use $\pi \approx 3.1416$:
$A \approx 9 \times 3.1416 = 28.2744$

Step4: Round to nearest hundredth

Round $28.2744$ to two decimal places: $28.27$

Answer:

C. 28.27 square units