Chord practice problems - page 3 of 4
Instructions: Solve each problem carefully and provide a detailed solution for every item.Number of problems found: 80
- Two chords
There is a given circle k (center S, radius r). From point A, which lies on circle k, are starting two chords of length r. What angle do chords make? Draw and measure. - Chord distance
Determine the distance of two parallel chords of lengths of 7 cm and 11 cm in a circle with a radius of 7 cm. - Chord
In a circle with radius r = 60 cm, there is a chord that is 4 times longer than its distance from the centre. What is the length of the chord? - Tangent
What distance are 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? - Chord distance length
The radius of the circle is 5.5 cm. The height is 2.3 cm, which is the chord's distance. How can we calculate the length of the string? - Circle chord
Calculate the length of the chord of the circle with radius r = 10 cm, the length of which is equal to the distance from the circle's center. - Chord 4
I need to calculate the circumference of a circle, and I know the chord length c=16 cm and the distance from the center d=15 cm chord to the circle. - Common chord
Two circles with radii 18 cm and 20 cm intersect at two points. Their common chord is 11 cm long. What is the distance between the centres of these circles? - Calculate the chord
The circle's radius is r=8.9 cm, and the chord AB of this circle has a length of 16 cm. Calculate the distance of chord AB from the center of the circle. - Circle chord
What is the length of a chord of a circle with diameter 115 m if the chord's distance from the centre is 11 m? - The chord
Calculate a chord length where the distance from the circle's center (S, 24 cm) equals 16 cm. - Chord and radius
Calculate the radius of a circle whose chord XY is 8 cm long and whose centre is 3 cm from the chord. - Chord distance
There is a 12 cm long chord in a circle with a radius of 10 cm. Calculate the distance of the chord from the center of the circle. - Chord center distance Calculate the distance of a chord 19 cm long from the center of a circle with a diameter of 28 cm.
- Chord length
Calculate the length of the circle chord, which is 2.5 cm from the circle's center. The radius is 6.5 cm. - Menelaus theorem proof
Show (using Meneal's theorem) that the center of gravity divides the line in a 1:2 ratio. - A chord In a circle radius of 6 cm, a chord is drawn 3 cm from the center. Calculate the angle subtended by the chord at the center of the circle. Hence find the length of the minor arc cut off by the chord.
- Circle center construction
There is any circle k that does not have a marked center. Use a suitable construction to find the center of the circle k. Try on two different circles. - Circular park
The circular park has an area of 1600 m². Cross the park, right in its center, leads the trail. What is the length of the trail? - Chord
It is given to a circle k(r=6 cm), and the points A and B such that |AB| = 8 cm lie on k. Calculate the distance of the center of circle S to the midpoint C of segment AB.
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