Tangent

What distance is the tangent t of the circle (S, 4 cm) and the chord of this circle, which is 6 cm long and parallel to the tangent t?

Correct result:

x =  1.354 cm

Solution:

r=4 cm t=6 cm t2=t/2=6/2=3 cm y=r2−t22=42−32≐7 cm≐2.6458 cm x=r−y=4−2.6458=1.354 cmr=4 \ \text{cm} \ \\ t=6 \ \text{cm} \ \\ t_{2}=t/2=6/2=3 \ \text{cm} \ \\ y=\sqrt{ r^2 - t_{2}^2 }=\sqrt{ 4^2 - 3^2 } \doteq \sqrt{ 7 } \ \text{cm} \doteq 2.6458 \ \text{cm} \ \\ x=r-y=4-2.6458=1.354 \ \text{cm}

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