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

226.285 square

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 =(\pi x^(2))/(2)`

`=((22)/(7)*12*12 )/(2) \\ \\ =((3168)/(7) )/(2) \\ \\ =(452.57)/(2) \\ \\= 226.285\ square\ inches`

Thus, 226.285 square inches are painted each color.