1 Answer

Ryan Tam · Answer 1 · 2023-01-12T05:11:46+0000

The area of a circle with radius r is given by the formula:

$A=\pi r^2$

The circular sector is 1/4 of the whole circle. Then the area is given by 1/4 of the area of a circle:

$A=(1)/(4)\pi r^2$

Substitute r=12 in and use 22/7 as the value for π:

$\begin{gathered} A=(1)/(4)*(22)/(7)(12in)^2 \\ =(1)/(4)*(22)/(7)*144in^2 \\ =(3168)/(28) \\ =(792)/(7) \\ =113.1428571\ldots \end{gathered}$

Then, the area of the shaded sector up to one decimal place is:

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