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 the area of circle G

The formula for the area of a circle is \(A = \pi r^{2}\). Given \(r = 3\) for circle G, then \(A_G=\pi\times3^{2}=9\pi\) units².

Step2: Find the area of Maria's circle

Since Maria's circle has double the area of circle G, \(A_M = 2\times A_G\). Substitute \(A_G = 9\pi\) into the equation, so \(A_M=2\times9\pi = 18\pi\) units².

Answer:

18π units²