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Line segment KL is tangent to circle J at point K.

Circle J is shown. Line segment J K is a radius with length r. Line segment K L is a tangent with length 24 and it intersects the circle at point K. A line is drawn from point L to point J and goes through a point on the circle. The length from point L to the point on the circle is 16. The length from the point on the circle to center point J is r.

What is the length of the radius, r?

8 units
10 units
12 units
16 units

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akposevictor

Using the tangent theorem, the length of the radius is: B. 10 units.

What is the Tangent Theorem?

According to the tangent theorem, since KL is tangent to the circle, therefore, angle JKL = 90°.

Since the triangle is a right triangle, apply the Pythagorean theorem:

(r+16)² = r² + 24²

r² + 32r + 256 = r² + 576

r² - r² + 32r + 256 = 576

32r + 256 = 576

32r = 576 - 256

32r = 320

r = 320/32

r = 10

The radius is: B. 10 units.

Learn more about the tangent theorem on:

https://brainly.com/question/9892082

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Answer:

B. 10 Units

Step-by-step explanation:

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