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kirza4 [7]
3 years ago
7

I will give brainliest!! THERE IS NO OTHER INFORMATION GIVEN!! In ⊙O, chord XY is 8 cm long and is 10 cm from O. What is the rad

ius ⊙O?
Mathematics
2 answers:
Crank3 years ago
5 0

Answer:

Step-by-step explanation:

perpendicular from center always bisects the chord of circle.

1/2 of chord=1/2×8=4 cm

r=\sqrt{4^2+10^2} =\sqrt{16+100} =\sqrt{116} \approx 10.77 ~cm

Zielflug [23.3K]3 years ago
4 0

Answer:

radius ≈ 10.77 cm

Step-by-step explanation:

The segment from the centre O to the chord is a perpendicular bisector.

Thus 2 right triangles are formed with legs 10 cm and 4 cm ( half of XY )

The radius r is the hypotenuse.

Using Pythagoras' identity, then

r² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )

r = \sqrt{116} ≈ 10.77 cm ( to 2 dec. places )

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\sf{\bold{\blue{\underline{\underline{Given}}}}}

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⠀⠀⠀⠀

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