Distance between centers of two circles having radii 9 cm and 4 cm is 13 cm. What is the length of direct common tangent of these circles.
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The formula to use is:
d² = t² - (r1 - r2)² where
d = the distance between two centres of the circle
t = he distance of the tangent
r1 and r2 = the radii of the circles
Apply the formula and find t:
d² = t² - (r1 - r2)²
13² = t² - ( 9 - 4)²
169 = t² - 25
t² = 144
t = √144
t = 12
Answer: The length of the tangent is 12 cm
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