Question

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?

Answer 1

`100.53\ inch^2`

Explanation:

Area of circle:
`Area\ of\ circle\ having\ radius\ r=\pi r^2`

Area of circle having 2 inch diameter:

`Here\ r=2\ in\\\\Area(A_1)=\pi* 2^2=4\pi`

Area of circle having 6 inch diameter:

`Here\ r=6\ in\\\\Area(A_1)=\pi* 6^2=36\pi`

`Difference\ between\ area:\\\\A_2-A_1=36\pi-4\pi\\\\A_2-A_1=32\pi\\\\A_2-A_1=100.53\ inch^2`