Question

The ratio of the central angle measure to the measure of the entire circle is now 1/2. The area of the sector created by central angle ACB is the area of the entire circle because the central angle is 1/2 the measure of the entire circle.

Answer 1

The central angle (ACB) is half the measure of the entire circle. The area of the sector created by central angle ACB is equal to the area of the entire circle because the sector covers the entire circle.

Step-by-step explanation:

The ratio of the central angle measure to the measure of the entire circle is 1/2. This means that the central angle (ACB) is half the measure of the entire circle. Let's assume the measure of the entire circle is 360 degrees.

Since the central angle ACB is half the measure of the entire circle, it would be 1/2 * 360 = 180 degrees.

Now, for the area of the sector created by central angle ACB to be equal to the area of the entire circle, the sector must cover the entire circle. Therefore, the statement that the area of the sector created by central angle ACB is the area of the entire circle is correct.