20 POINTS!!! I GIVE BRAINLIEST PLEASE HELP!!!!A circle with a circumference of approximately 15.71 inches drawn inside a square,
just touching the sides of the square. Explain how to determine the length of one side of the square.
1 answer:
answer:
5.002 inches
step-by-step explanation:
- find the diameter of the circle
- the diameter is the side length of the square since the sides of it are touching the circle
c = 2πr
- c stands for circumference
- π stands for pi (or 3.14)
- r stands for radius
- plug in the values given to find the diameter
c = 2πr
15.71 = 2(3.14)r
15.71 = 6.28r
r = 2.501 (rounded or estimated)
- now that we have the radius, we can find the diameter by multiplying by 2, since diameter is two times bigger than the radius
diameter = 5.002 (estimated)
- now, that will be the side length because the diameter = the side length
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