live4dramaoy0yf9
live4dramaoy0yf9 live4dramaoy0yf9
  • 03-06-2019
  • Mathematics
contestada

Help with this question, please!

Help with this question please class=

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sqdancefan
sqdancefan sqdancefan
  • 03-06-2019

Answer:

52 ft

Step-by-step explanation:

For each chord, the product of segment lengths is a constant. We can find that constant as the product of the segment lengths of the bisected chord:

(24 ft)·(24 ft) = 576 ft^2

Then the missing segment length (DX) of the diameter chord is ...

DX·(36 ft) = 576 ft^2

DX = (576 ft^2)/(36 ft) = 16 ft

So, the total length of the diameter chord is ...

DX +XL = 16 ft + 36 ft

DL = 52 ft

_____

We know DL is a diameter because the perpendicular bisector of any chord intersects the center of the circle.

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