Question

find the area of the circle below. use your calculator’s version of pi. round your answer to the nearest tenth.
(image of a circle on a coordinate grid with x-axis from -2 to 8 and y-axis from -4 to 6, and a box labeled area = to fill in the answer)

Explanation:

Step1: Find the circle's radius

From the grid, the circle has a horizontal span from $x=-1$ to $x=7$. The diameter is $7 - (-1) = 8$, so radius $r = \frac{8}{2} = 4$.

Step2: Apply area formula

The area of a circle is $A = \pi r^2$. Substitute $r=4$:
$A = \pi \times 4^2 = 16\pi$

Step3: Calculate and round

Use calculator $\pi$: $16\pi \approx 50.265$, round to nearest tenth: $50.3$

Answer:

50.3