The chord

Calculate a chord length which the distance from the center of the circle (S, 6 cm) equals 3 cm.

Correct result:

t =  10.3923 cm

Solution:

$$\begin{gathered} r^2=3^2+(t\mathrm{/}2{)}^2 \\ t=2\sqrt{r^2-3^2} \\ t=2\sqrt{6^2-3^2}=10.3923\text{ cm} \end{gathered}$$

Try another example

Showing 0 comments:

Related math problems and questions:

• Chord distance
  The circle k (S, 6 cm), calculate the chord distance from the center circle S when the length of the chord is t = 10 cm.
• Circle chord
  Calculate the length of the chord of the circle with radius r = 10 cm, length of which is equal to the distance from the center of the circle.
• Chord 5
  It is given circle k / S; 5 cm /. Its chord MN is 3 cm away from the center of the circle . Calculate its length.
• Chord 3
  What is the radius of the circle where the chord is 2/3 of the radius from the center and has a length of 10 cm?
• Chord
  In a circle with radius r=60 cm is chord 4× longer than its distance from the center. What is the length of the chord?
• Chord AB
  What is the length of the chord AB if its distance from the center S of the circle k(S, 92 cm) is 10 cm?
• Chord 4
  I need to calculate the circumference of a circle, I know the chord length c=22 cm and the distance from the center d=29 cm chord to the circle.
• Concentric circles and chord
  In a circle with a diameter d = 10 cm, a chord with a length of 6 cm is constructed. What radius have the concentric circle while touch this chord?
• Concentric circles
  In the circle with diameter 19 cm is constructed chord 9 cm long. Calculate the radius of a concentric circle that touches this chord.
• Circle chord
  What is the length x of the chord circle of diameter 115 m, if the distance from the center circle is 11 m?
• Two chords
  Calculate the length of chord AB and perpendicular chord BC to circle if AB is 4 cm from the center of the circle and BC 8 cm from the center of the circle.
• Two chords
  In a circle with radius r = 26 cm two parallel chords are drawn. One chord has a length t1 = 48 cm and the second has a length t2 = 20 cm, with the center lying between them. Calculate the distance of two chords.
• Chord
  It is given to a circle k(r=6 cm) and the points A, B such that / AB / = 8 cm lies on k. Calculate the distance of the center of circle S to the midpoint C of the segment AB.
• Chord 2
  Point A has distance 13 cm from the center of the circle with radius r = 5 cm. Calculate the length of the chord connecting the points T1 and T2 of contact of tangents led from point A to the circle.
• Two parallel chords
  In a circle 70 cm in diameter, two parallel chords are drawn so that the center of the circle lies between the chords. Calculate the distance of these chords if one of them is 42 cm long and the second 56 cm.
• 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?
• Circle's chords
  In the circle there are two chord length 30 and 34 cm. The shorter one is from the center twice than longer chord. Determine the radius of the circle.