The length of a rectangle is 6m longer than its width. If the perimeter of the rectangle is 52m, find its area
1 answer:
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Given:
The figure of a circle.
To find:
The measure of arc AD and measure of each arc.
Solution:
The measure of arc is equal to the central angle of that arc.
The central angle of arc AD is 105 degrees. So,
The central angle of arc BC is 35 degrees. So,
The central angle of arc CD is 50 degrees. So,
The central angle of a complete circle is 360 degrees. So,
Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°
In both cases,
(as a consequence of the interesecting secant-tangent theorem)
So we have
10.
(omit the negative solution because that would make at least one of AB or AD have negative length)
11.
(again, omit the solutions that would give a negative length for either AB or AD)