Answer:
226.285 square
Step-by-step explanation:
Given:
The radius of a circular sign is 12 inches.
Equal parts of the sign are painted red and yellow.
Question asked:
How many square inches are painted each color?
Solution:
Here given that a circular sign is divided into two equal parts and one part is painted with red and other with yellow and we have to calculate the area of each color:
We will find area of semicircle of each color:
[tex]Area\ of\ semicircle =\frac{\pi x^{2}}{2}[/tex]
[tex]=\frac{\frac{22}{7}\times12\times12 }{2} \\ \\ =\frac{\frac{3168}{7} }{2} \\ \\ =\frac{452.57}{2} \\ \\= 226.285\ square\ inches[/tex]
Thus, 226.285 square inches are painted each color.