Question

Line segment KL is tangent to circle J at point K. What is the length of the radius, r? 8 units 10 units 12 units 16 units

Answer 1

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# Answer- radius = 10 units.

# Explaination-

It's given that KL is tangent to circle with centre J.

Hence triangle JKL is a right angled triangle with angle K = 90°

According to pythagorean theorem,

JL^2 = JK^2 + KL^2 ...(1)

But JL = r+16 JK = r KL = 24

Putting this in eqn (1)

(r+16)^2 = r^2 + (24)^2

r^2+32r+256 = r^2 + 576

32r = 320

r = 10 units.

Hence radius is 10 units...

Answer 2

Answer:

10 units

Step-by-step explanation:

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