Question

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

Answer 1

Yes.. You can count it as full circle.

Answer:

3.9 squre inch

Step-by-step 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

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

Answer 2

Answer:

Below.

Step-by-step explanation:

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

= 3^2π

= 9π.