llamasking
07.04.2020 •
Mathematics
What is the length of the radius of circle A?
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Ответ:
Given:
CD = 18 cm
CE = 8 cm
To find:
The length of the radius of the circle A.
Solution:
Let the radius of the circle be x.
AD = AE = x
CA = CE + AE
CA = 8 + x
The angle between a tangent and radius is always right angle.
Therefore triangle ADC is a right triangle.
Using Pythagoras theorem:
Using algebraic identity:
Subtract x² from both sides.
Subtract 64 from both sides.
Divide by 16 on both sides, we get
The length of the radius of the circle is 16.25 cm.
Ответ:
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