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
Answers
Answered by
73
Hey mate,
You didn't post an image associated with the question. So I googled and found this image. Tell me if it's something else.
# 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...
Attachments:
![](https://hi-static.z-dn.net/files/d7c/878782de954a5cf9b87c4db762f667ea.jpeg)
Answered by
16
Answer:
10 units
Step-by-step explanation:
I just took the test
Similar questions
Political Science,
7 months ago
Economy,
7 months ago
Math,
7 months ago
Chemistry,
1 year ago
English,
1 year ago
Social Sciences,
1 year ago
Physics,
1 year ago
Biology,
1 year ago