Question

1. the radius of a circle is doubled. how many times larger does the area get? a) depends on the size of the circle. b) 2 times larger c) 3 times larger d) 4 times larger once you have completed all 14 questions (and included your work) get a qr code from mr. cunningham your answers.

Explanation:

Step1: Define original area

Let original radius be $r$. Area formula: $A_1 = \pi r^2$

Step2: Define new radius & area

New radius is $2r$. Calculate new area: $A_2 = \pi (2r)^2 = 4\pi r^2$

Step3: Find area ratio

Divide new area by original: $\frac{A_2}{A_1} = \frac{4\pi r^2}{\pi r^2} = 4$

Answer:

D) 4 times larger