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 in the circle c1. An angle of 24° 30' with the radius r2 is formed in 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 radii 18 cm and 20 cm intersect at two points. Its common chord is long 11 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
- Centimeters 7406
Circles with radii r1 = 10 centimeters and r2 = 4 cm touch from the outside. What is the distance between their centers? - Concentric circles
In the circle with diameter, 13 cm is constructed chord 1 cm long. Calculate the radius of a concentric circle that touches this chord. - Calculate 79144
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.
