Question

The measure of minor arc BE is 2. Find the exact area of the portion of the rectangle ABCD that falls outside the circle whose center is A.

a. Cannot be determined
b. 2π square units
c. (2-π) square units
d. (π-2) square units

Answer 1

To find the exact area of the portion of the rectangle ABCD that falls outside the circle with center A, calculate the area of the rectangle and subtract the area of the circle.

Step-by-step explanation:

To find the exact area of the portion of the rectangle ABCD that falls outside the circle with center A, we need to calculate the area of the rectangle and subtract the area of the circle. Let's say the length of the rectangle is l units and the width is w units. The area of the rectangle is given by A_rect = l * w. The radius of the circle is half the length of the rectangle, so the area of the circle is A_circle = π * (l/2)^2.

Now, we can calculate the exact area of the portion outside the circle by subtracting the area of the circle from the area of the rectangle: A_portion = A_rect - A_circle = l * w - π * (l/2)^2.