Question

in circle g, r = 3 units. maria draws a circle with double the area of circle g. what is the area of maria’s 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: Calculate 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:

18π units²