A central angle is an angle that is in the center of the circle, so angle P is a central angle. The arc that is associated with this angle is going to be the same measure as the central angle. I have labeled this in the photo below as blue.

An inscribed angle is an angle that lies on the circle, so angle N is an inscribed angle. The arc that is associated with this angle will be double the amount of the inscribed angle, or the angle is half of the measure of the arc. I have labeled this in the photo below as red.

Since we know that the central angle is 108°, with what we know about central angles we know that arc LM is going to be 108° as well.

We also know that an inscribed angle is half the amount of the arc so...

108 ÷ 2 = 54

m∠LNM = 54°

4 0

3 years ago

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An advertisement for a circular rug says that the rug has a diameter of 6 feet. Find the relative error of this measurement

Aleonysh [2.5K]

Answer:

1. 8.3%

Step-by-step explanation:

Relative error = absolute error/expected measurement

The expected measurement is given as 6 ft.

Now, the absolute error is usually equal to half of a unit of the measure.

This means the absolute error in this case is ½ × 1 = 0.5 ft

Thus, the exact measurement will be;

6 ± 0.5

Thus;

Relative error = 0.5/6

Relative error = 0.083

Expressing it in percentage gives 8.3%

4 0

3 years ago

Here's a picture help lol​

Here's a picture help lol