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Answer: The radius is 2 inches.
The circumference is approximately 12.56 inches.
Step-by-step explanation:
Given : The diameter of a dartboard = 4 inches
Since , radius is half of the diameter.
Therefore, radius of dartboard = (diameter) ÷ 2
= (4 inches ) ÷ 2 = 2 inches
Also, Formula for circumference : , where r is radius.
Now , Circumference of dartboard =
Hence, The radius is 2 inches.
The circumference is approximately 12.56 inches.
let's recall Cavalieri's Principle, <u>solids with equal altitudes and cross-sectional areas at each height have the same volume</u>, so even though this cylinder is slanted with a height = x and a radius = 8, the cross-sectional areas from the bottom to top are the same thickness and thus the same area, so its volume will be the same as a cylinder with the same height and radius that is not slanted.