Identify the diameter of⊙Q, given that A=169π2please help

Question

asked Feb 2, 2023 173k views

1 Answer

Sakthig · Answer 1 · 2023-02-05T21:18:54+0000

Solution:

Given that the area of circle Q is;

$A=169\pi in^2$

Also, the general formula is;

$\begin{gathered} A=\pi r^2 \\ \\ \text{ Where }r=radius \end{gathered}$

Thus, the radius, r, of the circle is;

$\begin{gathered} 169\pi=\pi r^2 \\ \\ r^2=169 \\ \\ r=√(169) \\ \\ r=13in \end{gathered}$

Thus, the diameter, d, is;

$\begin{gathered} d=2r \\ \\ d=2(13in) \\ \\ d=26in \end{gathered}$

ANSWER: The diameter of the circle is 26in