SOLUTION: A chord of 48 cm is 7 cm from the center of a circle. Calculate the area of the circle.
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Question 551405: A chord of 48 cm is 7 cm from the center of a circle. Calculate the area of the circle.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A chord of 48 cm is 7 cm from the center of a circle.
Calculate the area of the circle.
:
we want to find r, or better yet r^2
:
the 7 cm line from the center bisects the chord, forms a right triangle where
one leg = 24 and the other leg = 7, the hypotenuse is the radius, therefore
r^2 = 24^2 + 7^2
r^2 = 576 + 49
r^2 = 625
:
Find area of the circle
A =
A = 1963.495 sq/cm
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