We have AB=BC, AC=CD, angle ACD=90^circ. If the radius of the circle is 'r' , find BC in terms of r .

scherezade29pc 2022-07-14 Answered
We have A B = B C, A C = C D, A C D = 90 . If the radius of the circle is 'r' , find BC in terms of r .
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Answers (1)

agyalapi60
Answered 2022-07-15 Author has 17 answers
Step 1
Angle ABC is 135 ° because it is half the concave angle C O A = 270 ° .
Step 2
Thus angle B A C = 22.5 ° and B C = 2 r sin 22.5 ° = 2 r 2 2 2 = r 2 2
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