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2 years ago

The diameter of a circle is 4 centimeters. What is the length of a 45° arc?

Mathematics

1 answer:

madam [21]2 years ago

3 0

Answer: The length of the arc is 1.57 centimeters

Step-by-step explanation: If the diameter has been given as 4 centimeters, then the radius would be diameter divided by 2, and that equals 2.

With the radius now known as 2, we can calculate the length of the arc as follows;

Length of an arc = (Ω/360) x 2πr

Where Ω is the angle subtended by the radio and r is the radius.

Length of an arc = (45/360) x 2 x 3.14 x 2

Length of an arc = (1/8) x 12.56

Length of an arc = 1.57

Therefore, the length of the arc is 1.57 centimeters

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For comparing the mean absolute deviations of both data sets we have to calculate the mean absolute deviation for both data sets first,

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$x2 = \frac{366}{6}$

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Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored)

$41-61=-20=20\\50-61=-11=11\\58-61=-3=3\\62-61=1\\72-61=11\\83-61=22$

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So the MAD for city 2 is 11.33 ..

So,

The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.

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2 years ago

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The diameter of a circle is 4 centimeters. What is the length of a 45° arc?​

The diameter of a circle is 4 centimeters. What is the length of a 45° arc?