Answer:
4.2
Step-by-step explanation:
It would be 8/2 which gets 4 and put the .2 4.2
Length of the arc of each slice of cake is equals to 5.024inches.
" Length of the arc is defined as the distance between any two points as a part of the circumference of the circle."
Formula used
Length of the arc = radius × central angle of the arc
l = r × θ
According to the question,
Number of friends = 5
Diameter of the cake = 8inches
Shape of the cake is circular.
Therefore angle formed = 360°
Angle for each piece of cake = [tex]\frac{360}{5}[/tex]
= 72°
Radius of the cake = [tex]\frac{diameter }{2}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4 inches
Substitute the value in the formula to get the length of the arc we get,
L = 4 × 72 × [tex]\frac{\pi }{180}[/tex]
= 5.024inches
Hence, length of the arc of each slice of cake is equals to 5.024inches.
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