Question

I’m confused on the split circle part; do i count it as a full circle?

Answer 1

Below.

Explanation:

Yes - those are 2 semicircles so their combined area = πr^2

= 3^2π

= 9π.

Answer 2

Yes.. You can count it as full circle.

Answer:

3.9 squre inch

Explanation:

Two semicircles are inscribed in a square of side 6 in. Both the semicircles if combined together will form a full circle.

Area of the yellow region would be half of the areas of the difference between area of square and area of two semicircles each with radius 3 inches.

Therefore,

Area of yellow region

`= (1)/(2) (area \: of \: square - 2 * area \: of \: semicircle) \\ \\ = (1)/(2) ( {6}^(2) - 2 * (1)/(2) \pi {r}^(2) ) \\ \\ = (1)/(2) ( {6}^(2) - 3.14 * {3}^(2) ) \\ \\ = (1)/(2) ( 36 - 3.14 * 9 ) \\ \\ = (1)/(2) ( 36 - 28.26 ) \\ \\ = (1)/(2) * 7.74 \\ \\ = 3.87 \: {in}^(2) \\ \\ = 3.9 \: {in}^(2)`