Question

the radius of a quarter circle is 4 kilometers. what is the quarter circles area?
r=4 km
round your answer to the nearest hundredth.
square kilometers

Explanation:

Step1: Recall full circle area formula

The area of a full circle is $A_{full} = \pi r^2$

Step2: Plug in radius $r=4$ km

$A_{full} = \pi (4)^2 = 16\pi$

Step3: Calculate quarter circle area

Divide full area by 4: $A_{quarter} = \frac{16\pi}{4} = 4\pi$

Step4: Compute decimal and round

$4\pi \approx 4\times3.1416 = 12.5664$, rounded to nearest hundredth is $12.57$

Answer:

12.57 square kilometers