Answer:
The angle for each slice is 45 degrees.
Step-by-step explanation:
In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:
pizza area = pi*r²
r = d / 2 = 14 /2 = 7 inches
pizza area = pi*(7)² = 153.86 square inches
Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:
slice area = pizza area / 8 = 153.86 / 8 =19.2325 square inches
Each slice is a circle sector, therefore it's area is given by:
slice area = (angle*pi*r²)/360
Therefore we can solve for angle:
19.2325 = (angle*pi*7²)/360
angle*pi*49 = 6923.7
angle = 6923.7 / pi*49 = 45 degrees
The angle for each slice is 45 degrees.
Answer:
Yes, you are right. Great job!
Step-by-step explanation:
To solve for S, you would want to get rid of the denominator so multiply 360 onto both sides. then the equation is 360A=pi times r squared times S. Divide both sides by pi and r squared and you get S=360A/pi times r squared
The radius and the center of the circle are 4 units and (1,2), respectively
<h3>How to determine the center and the radius?</h3>
The center of the circle is on
y = 2x and x = 1
Substitute x = 1 in y = 2x
y = 2 * 1
Evaluate
y = 2
This means that the center is
Center = (1, 2)
Also, we have the point of tangency to be:
(x, y) = (1, 6)
This point and the center have the same x-coordinate.
So, the distance between this point and the center is
d = 6 - 2
d = 4
This represents the radius
Hence, the radius and the center of the circle are 4 units and (1,2), respectively
Read more about circle equation at:
brainly.com/question/10618691
#SPJ1
F(x)=2.37ft*(X)
if x=6
then you multiply the amount of feet per minute which is 2.37 by 6
2.37*6=14.22
so your answer would be 14.22
