Question

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

Explanation:

Step1: Calculate 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: Calculate area of Marla's circle

Marla's circle has double the area of circle G. So \(A_M = 2\times A_G\). Substitute \(A_G = 9\pi\) into the formula, we get \(A_M=2\times9\pi = 18\pi\) units².

Answer:

\(18\pi\) units²