n0tchtehsm4shr n0tchtehsm4shr

01-03-2018
Mathematics

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Find the length of both arc AB and arc APB, where

Find the length of both arc AB and arc APB where class=

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sqdancefan sqdancefan

01-03-2018

The length of the arc cannot be found without knowing some linear measure of the circle. None are given.

The measure of arc AB is twice that of angle APB, so is
  2*108° = 216°.
The measure of arc APB is the difference between that and 360°, so is
  360° -216° = 144°.

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jdoe0001 jdoe0001

01-03-2018

check the picture below.

as you can see, the angle at P is the inscribed angle, and the intercepted arc is AB, thus 2P = arcAB.

and since a circle has a total of 360°, the other arc is just 360 - arcAB.

Ver imagen jdoe0001

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