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

Question

3 years ago

7

ius ⊙O?

2 answers:

Crank · Answer 1 · 2022-04-07T20:10:35+03:00

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] · Answer 2 · 2022-04-07T17:41:14+03:00

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 )