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REQUIRED TO FIND THE RADIUS R AND AREA ABCD FROM THE GIVEN FIGURE.

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The circumscribed shape is a regular trapezium and for sure reason, assigned angle to one of the its angle so that upper angles, each, will be equals to 180° the assigned angle. We solved this question usig trigononmetric identities and Pythagora´s theorem relationships. Also, triangular rules are applied. This helpe us find the value of the radius, R of the inscribed circle. We found the length AB, CD and 2R. Thus, the area of ABCD is [AB + CD] x 2R/2 .
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posted by gyslotisv2