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Andrei [34K]
4 years ago
8

Can anyone answer this question with showing work 532.6 • 8.53

Mathematics
1 answer:
MAVERICK [17]4 years ago
7 0

The answer is: 4543.078

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The circumference of the circle below is 20 cm. What is the length of AB (the minor arc)?
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Answer: AB=5.27\ cm

Step-by-step explanation:

For this exercise it is important to remember that, by definition, the length of the minor arc can be calculated wih the following formula:

arc\ length=(\frac{central\ angle}{360\°})(circumference)

In this case , according to the data given in the exercise, you know that:

arc\ length=AB\\\\central\ angle=95\°\\\\circumference=20\ cm

Therefore, susbtituting those values into the formula, you get that length of AB is the following:

AB=(\frac{95\°}{360\°})(20\ cm)\\\\AB=(\frac{191}{72})(20\ cm)\\\\AB=5.27\ cm

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