To find the probability you do 360/45= 8 to find that there are 8 pieces. Then you find what 1/8 is and that answer is .125 /.13. This means that it is either C or D.
The area is 14.1 since you crossmultiply central angle/360 * sector/pi r2 (36pi) so 45 * 36pi = 5089.38 and then you do sector * 360 which equals 360 only and then you take 5089.38/360 and get 14.1
Answer: Option 'd' is correct.
Step-by-step explanation:
Since we have given that
Diameter of the spinner = 12
Radius of the spinner = 6
We need to find the area of indicated sector.
As the measure of angle in that sector = 45°
So, Area of given sector would be
[tex]\dfrac{\theta}{360^\circ}\times \pi \times r^2\\\\=\dfrac{45}{360}\times \dfrac{22}{7}\times 6\times 6\\\\=14.1\ sq.\ units[/tex]
Probability of spinning the color i.e. purple is given by
[tex]\dfrac{1}{8}=0.125\approx 0.13[/tex]
Hence, Option 'd' is correct.
