The diameter of a circular chip is doubled to use in a new board game. the area of the new chip will be

Step-by-step explanation:

1. You have the following formula for calculate the area of the original circular chip:

Where D is the diameter of the circle.

2. Then, if the diameter of the original circular chip is doubled (2D) to use in a new board game, the area of the new chip can be calculated with the following formula:

The area of the new chip will be 4 times the area of old chip

Step-by-step explanation:

Formula

Area of circle = πr²  where r is the radius if circle

Let d  be the diameter of old circular chip

radius r = d/2

To find the area of old chip

Area = πr² = π(d/2)²

Area = πd²/4

To find the area of new chip

Here diameter = 2d

radius  r = 2d/2 = d

Area = πr² = πd²

Therefore the area of the new chip will be 4 times the area of old chip

what is the original number? you forgot to add it.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1