The radius of circle a (which is 6) is multiplied by 1/2. Describe the effect of the change of the area.
since area grows as r^2, the area grows by (1/2)^2 = 1/4
To describe the effect of changing the radius of circle A, you need to understand the relationship between the radius and the area of a circle.
The formula for the area of a circle is A = πr², where "A" represents the area and "r" represents the radius of the circle.
In this scenario, the radius of circle A is 6. When the radius is multiplied by 1/2, the new radius becomes 6 * (1/2) = 3.
To determine the effect of this change on the area, you can use the formula A = πr².
For the original circle A with a radius of 6, the area is A = π(6)² = π(36) = 36π.
For the new circle with the reduced radius of 3, the area is A = π(3)² = π(9) = 9π.
Comparing the original area (36π) to the new area (9π), we can see that the new area is smaller. Specifically, it is one-fourth (1/4) of the original area.
So, when the radius of circle A is multiplied by 1/2, the effect on the area is that it becomes one-fourth of its original size.