Question

find the area of a circle with a diameter of 6. either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.

Explanation:

Step1: Calculate radius from diameter

Radius $r = \frac{\text{diameter}}{2} = \frac{6}{2} = 3$

Step2: Apply circle area formula (exact)

Area $A = \pi r^2 = \pi (3)^2 = 9\pi$

Step3: Calculate decimal approximation

$A = 9 \times 3.14 = 28.26$

Answer:

Exact answer: $9\pi$ units$^2$
Decimal approximation: $28.26$ units$^2$