Question

The radius of a circular sign is 12 12 inches. Equal parts of the sign are painted red red and yellow yellow. How many square inches are painted each​ color?

Answer 1

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:

$Area\ of\ semicircle =\frac{\pi x^{2}}{2}$

                               $=\frac{\frac{22}{7}\times12\times12 }{2} \\ \\ =\frac{\frac{3168}{7} }{2} \\ \\ =\frac{452.57}{2} \\ \\= 226.285\ square\ inches$

Thus, 226.285 square inches are painted each color.