Question

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

Answer 1

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

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

Answer 2

Answer:
`A_2=(\pi(2D)^(2))/(4)`

Explanation:

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

`A_1=(\pi(D)^(2))/(4)`

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:

`A_2=(\pi(2D)^(2))/(4)`