a pizza has a diameter of 18 inches and it's divided into 8 equal parts, and you take one slice of it. what is tha central angle of your share in mills measurements? with a solution
butts
To find the central angle of your share in mill measurements, you can follow these steps:
Step 1: Calculate the total central angle of the pizza.
Since the pizza is divided into 8 equal parts, each slice will have a central angle of 360 degrees (360°) divided by the number of slices, which in this case is 8.
360° / 8 = 45°
Step 2: Convert degrees to mills.
Since there are 1000 mills in one degree, you can multiply the central angle in degrees by 1000 to convert it to mill measurements.
45° * 1000 = 45,000 mills
Therefore, the central angle of your share in mill measurements is 45,000 mills.
To find the central angle of your share in mills measurements, you need to consider the total angle of the pizza and divide it by the number of slices.
First, let's find the total angle of the pizza. A full circle is divided into 360 degrees. In mills, there are 10,000 equal parts in a circle. So, 360 degrees is equivalent to 10,000 mills.
Now, let's calculate the central angle for one slice. Since the pizza is divided into 8 equal parts, each slice represents 1/8th of the pizza.
To find the central angle for one slice in degrees, we divide 360 degrees by 8:
360 degrees / 8 = 45 degrees
Since we are measuring in mills, we need to convert the angle from degrees to mills. We know that 360 degrees is equivalent to 10,000 mills. So, to find the central angle in mills, we can set up a proportion:
45 degrees / 360 degrees = X mills / 10,000 mills
Cross-multiplying gives us:
45 degrees * 10,000 mills = 360 degrees * X mills
450,000 mills = 360X
Now, solve for X:
X = 450,000 mills / 360
X ≈ 1250 mills
Therefore, the central angle of your share of the pizza, in mills, is approximately 1250 mills.