Circle + triangle - practice problems
Number of problems found: 336
- Grassland and goat
An unfenced grassland is a right triangle ABC with AB = 4m, BC = 8m, and AC as hypotenuse. A goat is tied to a 5-m long rope with its stake at point O, which is 2m from side AB and 2m from the prolongation of side BC through corner B. Then: 1. How far is - ET inscribed circle
An equilateral triangle has been inscribed in a circle with a radius of 4 cm . Find the area of the shaded region. - 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. - Angle over circle
In the figure, O is the center of the circle and AB is tangent at B. If angle OAB is 28 degrees find angle AOB. Figure is not scaled.
- 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. - Radio radius
Two friends have shortwave radios with a range of 13 km. The first of them travels by train at a speed of 48 km per hour along a straight section of track, from which the second of the friends is 5 km away. How long will radio friends be allowed for both - Cathethus and the inscribed circle
A right triangle is given one cathetus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle.
- Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy? - Circle inscribed
There is a triangle ABC and a circle inscribed in this triangle with a radius of 15. Point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26? - Described 7872
In the KLM isosceles triangle, the KL base is 24 cm long, and the arm measures 15 cm. What is the radius of the circle described by this triangle? - RT sides
Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm. - Goat
The meadow is a circle with a radius r = 19 m. How long must a rope tie a goat to the pin on the meadow's perimeter to allow the goat to eat half of the meadow?
- Circumference 4278
An inscribed circle is also described as an equilateral triangle with a side length of 8 cm. How many cm is the circumference of the inscribed circle smaller than the circumference of the described circle? - Triangle in circle
The vertices of the triangle ABC lie on a circle with a radius 3, which is divided into three parts in the ratio 4:4:4. Calculate the circumference of the triangle ABC. - Right triangle
A circle with a radius of 5 cm is described in a right triangle with a 6 cm leg. What is the height at the hypotenuse of this triangle? - Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - EQL triangle
Calculate the inradius and circumradius of an equilateral triangle with side a=77 cm.
A circle is inscribed in the triangle with sides of 13 cm, 14 cm, and 15 cm. What is its radius?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
