# algebra2

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a chord in a circle makes an angle of 45° with the radius. if the chord is 4 cm long, what is the radius of the circle

• algebra2 -

since the chord forms the base of an isosceles triangle, the other angles are 45° and 90°. The radii form the 90° angle, so 2r^2 = 4^2, and r=2√2.

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