Chord practice problems
A chord of a circle is a straight line segment whose endpoints both lie on the circle. A chord that passes through a circle's center point is the circle's diameter. The word chord is from the Latin chorda meaning bowstring.Direction: Solve each problem carefully and show your solution in each item.
Number of problems found: 79
- Three inscribed objects
A circle is inscribed in a square. An equilateral triangle of side 4√3 is inscribed in that circle. Find the length of the diagonal of the square. - Two chords 2
The length of one of two chords of a circle is 12cm. If the chords are 6cm and 7cm, respectively, away from the center of the circle, calculate the length of the second chord. - Two chords 6 A chord PQ is 10.4cm long, and its distance from the center of a circle is 3.7cm. Calculate the length of a second chord RS, which is 4.1cm from the center of this circle.
- A chord 2
A chord of length 16 cm is drawn in a circle of radius 10 cm. Calculate the distance of the chord from the center of the circle. - Chords
How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones? - Endless lego set
The endless Lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed. - Chord of triangle
If the whole chord of the triangle is 14.4 cm long, how do you calculate the shorter and longer parts?
- Circle's chords
The circle has two chord lengths, 30 and 34 cm. The shorter one is from the center twice as a longer chord. Determine the radius of the circle. - Circle chord
Determine the circle's radius in which the chord 6 cm away from the center is 12 cm longer than the circle's radius. - Height of the arc - formula
Calculate the arc's height if the arc's length is 65 and the chord length is 33. Does there exist a formula to solve this? - Chord 5
It is given a circle k/S; 5 cm /. Its chord MN is 3 cm away from the center of the circle. Calculate its length. - Chord distance The circle k (S, 6 cm) calculates the chord distance from the center circle S when the chord length is t = 10 cm.
- Chord 3 The chord is 2/3 of the circle's radius from the center and has a length of 10 cm. How long is the circle radius?
- Construct 83195
Two line segments of different lengths are given. Construct a circle k so that both line segments are its chords. - Intersect 6042
Two circles with straight radii of 58 mm intersect at two points. Their common string is 80 mm long. What is the distance of the centers of these circles?
- Intersections 68784
The figure shows the circles k₁(S₁; r1=9 cm) and k₂(S2; r2 = 5 cm). Their intersections determine a common chord t 8 cm long. Calculate the center distance |S₁ S₂| in cm to two decimal places. - Circle
The circle is given by the center on S[-7; 10], and the maximum chord is 13 long. How many intersections have a circle with the coordinate axes? - Two chords
In a circle with a radius of 8.5 cm, two parallel chords are constructed, the lengths of which are 9 cm and 12 cm. Find the distance of the chords in a circle. - Perpendicular diameters
Draw a circle k/S 4.5 cm/. Next, draw: and/two mutually perpendicular diameters AB and CD b/two radii SA and SE which form an angle of 75 degrees c/chord /KL/= 4 cm d/chord /MN/, which is perpendicular to KL - Chord 2
Point A has a distance of 13 cm from the circle's center with a 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.
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