SOLUTION: In a circle of radius 5cm, two parallel chords of length 5 cm form opposite sides of a rectangle. What is the area of the rectangle?

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Question 966900: In a circle of radius 5cm, two parallel chords of length 5 cm form opposite sides of a rectangle. What is the area of the rectangle?
Answer by lwsshak3(11628) About Me  (Show Source):
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In a circle of radius 5cm, two parallel chords of length 5 cm form opposite sides of a rectangle. What is the area of the rectangle?
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length of chords=width of rectangle=5 cm
construct right triangle as follows:
hypotenuse=2*radius=10 cm
known leg=chord=5 cm
length of rectangle=√(10^2-5^2)=√(100-25)=√75
area of rectangle=length*width=5*√75=43.3 cm^2