Common chord
The common chord of the two circles c1 and c2 is 3.8 cm long. This chord forms an angle of 47° with the radius r1 of the circle c1 and an angle of 24° 30´ with the radius r2 of the circle c2. Calculate both radii and the distance between the two centers of the circles.
Correct answer:

Tips for related online calculators
Do you want to convert length units?
See also our right triangle calculator.
See also our trigonometric triangle calculator.
See also our right triangle calculator.
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
- algebra
- expression of a variable from the formula
- planimetrics
- right triangle
- triangle
- chord
- goniometry and trigonometry
- sine
- cosine
Units of physical quantities:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Common chord
Two circles with radius 17 cm and 20 cm are intersect at two points. Its common chord is long 27 cm. What is the distance of the centers of these circles?
- 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 2557
How many intersections do circles with radii of 10 cm and 6 cm have if the distance between their centers is 3 cm?
- Eq triangle minus arcs
In an equilateral triangle with a 2cm long side, the arcs of three circles are drawn from the centers at the vertices and radii 1cm. Calculate the area of the shaded part - a formation that makes up the difference between the triangle area and circular cu
- Circles
For the circle c1(S1; r1=146 cm) and c2(S2; r2 = 144 cm) is distance of centers |S1S2| = 295 cm. Determine the distance between the circles.
- Concentric circles
In the circle with diameter, 16 cm is constructed chord 8 cm long. Calculate the radius of a concentric circle that touches this chord.
- Centimeters 7406
Circles with radii r1 = 10 centimeters and r2 = 4 cm touch from the outside. What is the distance of their centers?
- Circles
In the circle with a radius 7.5 cm are constructed two parallel chord whose lengths are 9 cm and 12 cm. Calculate the distance of these chords (if there are two possible solutions write both).
- 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.
- Circles
Three circles of radius 30 cm 28 cm and 37 cm are mutually tangent. What is the perimeter of the triangle whose vertices are centers of the circles?
- Calculation 31381
A chain was stretched between two identical gears with a diameter of 40 cm. The distance between the wheel centers is 1.8 m. Calculate the length of the chain. Procedure and calculation
- Chord MN
Chord MN of circle has distance from the center circle S 120 cm. Angle MSN is 64°. Determine the radius of the circle.
- Two circles
Two circles with a radius 4 cm and 3 cm have a center distance 0.5cm. How many common points have these circles?
- Length of the chord
Calculate the length of the chord in a circle with a radius of 25 cm with a central angle of 26°.
- Chords centers
The circle with a diameter 17 cm, upper chord/CD/ = 10.2 cm and bottom chord/EF/ = 7.5 cm. The midpoints of the chords H, G is that/EH/ = 1/2 /EF/and/CG/ = 1/2 /CD/. Determine the distance between the G and H, if CD II EF (parallel).
- Intersections
How many intersections have circles with radius 16 mm and 15 mm, if the distance of their centers is 16 mm.
- The fence
I'm building a cloth (board) fence. The boards are rounded in a semicircle at the top. The tops of the boards between the columns should copy an imaginary circle. The tip of the first and last board forms the chord of a circle whose radius is unknown. The