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ahrayia [7]
3 years ago
8

Suppose that ym has length 12 in. and its distance from point L is 5 in. Find the radius of ⊙L to the nearest tenth.

Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0

Answer:

The radius of circle L is 7.8\ in

Step-by-step explanation:

Remember that a line that passes through the center divide the circle into two equal parts

YV=VM=6 in

VL is perpendicular to YM

so

The triangle VLM is a right triangle

The radius is equal to LM ----> hypotenuse of the triangle VLM

Applying the Pythagoras Theorem

LM^{2}=VM^{2}+VL^{2}

substitute the given values

LM^{2}=6^{2}+5^{2}

LM^{2}=61

LM=7.8\ in

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