Mathematics: A circular copper decoration has a diameter of 2 in. How much more area would a circular decoration with a diameter of 6 in. have?

The correct answer is I because a 3:2 ratio equals a 6:4 ratio. You can simplify 6/4 to get 3/2....

A circular copper decoration has a diameter of 2 in.

keasiabradley

18.01.2022

$8\pi \ in^2$

Step-by-step explanation:

1. Find the area of the circle with diameter of 2 in. If diameter is 2 in, then the radius is $2\div 2=1\ in.$

Area $=\pi r^2=\pi\cdot 1^2=\pi \ in^2$

2. Find the area of the circle with diameter of 6 in. If diameter is 6 in, then the radius is $6\div 2=3\ in.$

Area $=\pi r^2=\pi\cdot 3^2=9\pi \ in^2$

3. Find the difference in area:

$9\pi -\pi =8\pi \ in^2$

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