Circle + triangle - practice problems - page 2 of 17
Number of problems found: 336
- Equilateral 5140
I have a circle with a diameter of 6.4 cm. I need to find out the length of the side of an equilateral triangle inscribed in a circle. - An equilateral
An equilateral triangle with a side of 10 m represents a wooden platform standing on a lawn. A goat is tied to a corner with a 15 m rope. What is the maximum amount of grazing area available to the goat? - Circles
Three circles of radius 30 cm, 28 cm, and 37 cm are mutually tangent. What is the triangle perimeter whose vertices are the circles' centers? - Inscribed 3689
There is a triangle ABC whose perimeter is 2s (2s = a + b + c), and the circle k (S, ρ) is the inscribed circle of the triangle. Calculate the length of the tangent of the circle k from point A.
- Triangle
Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius). - Circumference 56291
Calculate the circumference of a circle circumscribed by a right triangle with squares 10 cm and 15 cm long. - Inscribed circle
The circle inscribed in a triangle has a radius of 3 cm. Express the area of the triangle using a, b, and c. - RT and circles
Solve the right triangle if the radius of the inscribed circle is r=9 and the radius of the circumscribed circle is R=26. - Perimeter of circle
Calculate the circumference of a described circle to the triangle with sides 9,12,15 cm.
- Find radius
Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r - Thales
Calculate the length of the Thales' circle described to the right triangle with hypotenuse 44.2 cm. - A Ferris wheel
A Ferris wheel with a diameter of 100 feet makes five revolutions every 8 minutes. The base of the wheel is 4 feet above the ground. Your friend gets on at 3 PM sharp. a) Write an equation in seconds to express your friend's height in feet at any given ti - Distance 15203
In the plane, the points A, B, and C are given 3 cm apart, and they do not lie in the same straight line. Mark the set of all points whose distance from all three points is less than or equal to 2.5 cm. - Overload
Calculate how many g's (gravity accelerations) the glider pilot when turning the horizontal circles of radius 148 m flying at 95 km/h. Centripetal acceleration is proportional to the square of the speed and inversely proportional to the radius of rotation
- Quatrefoil 81138
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters. - Perpendicular 70824
One perpendicular to the ABC right triangle has a length a = 14 cm, and a radius of the circle inscribed in this triangle r = 5 cm. Find the size of the diaphragm and its second perpendicular. - Belongs 8412
Given a circle k(O; 2.5 cm), a line p: /Op/=4 cm, a point T: T belongs to p and at the same time /OT/=4.5 cm. We must find all the circles that will touch the circle k and the line p at point T. - Infinity
A square with a side 19 long is an inscribed circle, and the circle is inscribed next to the square, circle, and so on to infinity. Calculate the sum of the area of all these squares. - Circumscribing 80498
Given is an acute-angled triangle ABC. On the half lines opposite to BA and CA lie successively the points D and E such that |BD| = |AC| and |CE| = |AB|. Prove that the center of the circle circumscribing triangle ADE lies on the circle circumscribing tri
A right-angled triangle was inscribed in a circle with a diameter of 20 cm, whose hypotenuse is the circle's diameter and has the largest possible area. Calculate the area of this triangle.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
