i’m confused on the split circle part; do i count it as a full circle?
![im confused on the split circle part do i count it as a full circle class=](https://us-static.z-dn.net/files/d80/20f8f6bec293d09398f9a25dff461f0f.jpg)
Answer:
Below.
Step-by-step explanation:
Yes - those are 2 semicircles so their combined area = πr^2
= 3^2π
= 9π.
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
[tex] = \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}[/tex]