Question

4
a pie is baked in a circular pan with a diameter of $10\frac{1}{2}$ inches.
what is the approximate area of the pie that is left after half of the pie has been eaten?
$43.28$ $in^2$

Explanation:

Step1: Find radius from diameter

The diameter is $10\frac{1}{2} = 10.5$ inches. Radius $r = \frac{10.5}{2} = 5.25$ inches.

Step2: Calculate full area of pie

Use area formula $A = \pi r^2$.
$A = \pi \times (5.25)^2 = \pi \times 27.5625 \approx 86.59$ in²

Step3: Find half the area (remaining pie)

Since half is eaten, remaining area is $\frac{86.59}{2}$.

Answer:

$43.29$ in² (approximate, matches the given value of $43.28$ in² due to slight $\pi$ rounding differences)