Question

in circle g, r = 3 units. maria draws a circle with double the area of circle g. what is the area of marias circle? 6π units² 9π units² 12π units² 18π units²

Explanation:

Step1: Calculate area of circle G

The formula for the area of a circle is \( A = \pi r^2 \). For circle G, \( r = 3 \) units. So, \( A_G=\pi\times3^2 = 9\pi \) square units.

Step2: Find area of Maria's circle

Maria's circle has double the area of circle G. So, \( A_{Maria}=2\times A_G = 2\times9\pi=18\pi \) square units.

Answer:

\( 18\pi \) units² (the option with \( 18\pi \) units²)