SOLUTION: What is the radius of a circle if a chord of the circle that is 16 centimeters long is 6 centimeters from the center of the circle?
a. 6cm
b. 8cm
c. 10cm
d. 16cm
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-> SOLUTION: What is the radius of a circle if a chord of the circle that is 16 centimeters long is 6 centimeters from the center of the circle?
a. 6cm
b. 8cm
c. 10cm
d. 16cm
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Question 739872: What is the radius of a circle if a chord of the circle that is 16 centimeters long is 6 centimeters from the center of the circle?
a. 6cm
b. 8cm
c. 10cm
d. 16cm Found 2 solutions by Alan3354, MathLover1:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! What is the radius of a circle if a chord of the circle that is 16 centimeters long is 6 centimeters from the center of the circle?
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8*8 = (r-6)*(r+6)
r = 10 cm
a. 6cm
b. 8cm
c. 10cm
d. 16cm
You can put this solution on YOUR website! Draw a picture. The distance between the chord and the circle's center is measured at the chord's midpoint (draw this in) and then connect the chord's endpoints with the circle's center -- these are radii.
You should see two mirror-image right triangles.
here is a picture:
You have enough information to know the two legs of each triangle, and its hypotenuse is the circle's radius, which you can find using the Pythagorean theorem.
