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?
Correct answer:

Showing 1 comment:
Cjinct
Unless I am missing something, triangle ABC is an equilateral triangle since all three sides are radii and therefore are congruent. If I am correct, you only need to know the length of the radii to answer the question ... AC = 58 cm and BD = 58(root 3) cm.
Please advise.
Please advise.
Tips for related online calculators
You need to know the following knowledge to solve this word math problem:
Related math problems and questions:
- Common chord
Two circles with radii 12 cm and 20 cm intersect at two points. Its common chord is long 20 cm. What is the distance of the centers of these circles?
- Centimeters 7406
Circles with radii r1 = 10 centimeters and r2 = 4 cm touch from the outside. What is the distance between their centers?
- 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?
- 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
- Intersections
How many intersections have circles with radius 16 mm and 15 mm if the distance of their centers is 16 mm?
- Two circles
Two circles with a radius of 4 cm and 3 cm have a center distance of 0.5cm. How many common points have these circles?
- 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
- Concentric 18343
Construct three concentric circles k, l, m with center at point S and with radii 2cm, 3cm, and 40mm
- Circles
For the circle c1(S1; r1=109 cm) and c2(S2; r2 = 152 cm) is distance of centers |S1S2| = 261 cm. Determine the distance between the circles.
- Circles
How many different circles are determined by 11 points at the plane if 7 of them lie in a straight line?
- The ratio
The ratio of the lengths of the two circles is 5:2. Find the ratio of a a) the radii of these circles b) the areas for 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.
- Gear
Two gears fit into each other and have a transfer of 2:3. Centers of gears are spaced 82 cm. What are the radii of the gears?
- Determined 3570
There are 12 points in space, with no three lying on a straight line. How many different planes are determined by these points?
- Map
On the tourist map, on a scale of 1:50000 is the distance between two points along a straight road 3.7 cm. How long travels this distance on a bike at 30 km/h? Time express in minutes.
- Two parallel chords
In a circle 70 cm in diameter, two parallel chords are drawn so that the circle's center lies between the chords. Calculate the distance of these chords if one of them is 42 cm long and the second 56 cm.
- Plan scale
At what scale is the drawn plan of the building, where one side is 45 meters long, on the plan expressed by a straight line 12 mm long?