Planimetrics - math word problems - page 47 of 184
Number of problems found: 3673
- Two circles
Two circles with the same radius, r = 1, are given. The center of the second circle lies on the circumference of the first. What is the area of a square inscribed in the intersection of given circles? - The size
The sides of the trapezium are 3/4*x cm, x cm, 2*(x+1) cm and 3(x+2) cm long respectively. If its perimeter is 60cm, calculate the length of each side. - Bamboo
At a certain height, the wind broke the bamboo high 32 feet, so the bamboo top reached the ground at a distance of 16 feet from the trunk. At what height from the ground was the bamboo broken? - Chord
It is given to a circle k(r=6 cm), and the points A and B such that |AB| = 8 cm lie on k. Calculate the distance of the center of circle S to the midpoint C of segment AB. - Largest angle of the triangle
What is the largest angle of the triangle if the second angle is 10° greater than twice the first and the third is 30° smaller than the second? - Right triangle eq2
The hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the second leg. Determine the circumference and area of a triangle. - A goat
In the square garden of side (a), a goat is tied in the middle of one side. Calculate the length of the rope (r) so that the goat grazes exactly half the garden. If r = c * a, find the constant c. - Inscribed circle
XYZ is a right triangle with a right angle at the vertex X and an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm. - Right triangle Alef
The obvod of a right triangle is 120 cm, and the hypotenuse is 51 cm long. Determine the lengths of the legs. - Calculate 3987
The diamond has an area of 94.24 square meters and one diagonal of 7.6 cm. Calculate the length of the second diagonal. - Determine 83240
In triangle ABC, the internal angle beta is twice the size of the angle alpha, and the angle gamma is 20 degrees less than the size of the angle beta. Determine the size of all interior angles of this triangle. - Trapezoid 78904
Calculate the middle crossbar of a trapezoid whose area is 111.8 cm² and height 6.5 cm. - Circumference 65674
The circumference of the triangle is 125 cm. The shortest side is 12 cm shorter than the longest side. The longest side is 7 cm longer than the middle side. How long is the middle side? - Circumference 21603
The circumference of the diamond is 29.6dm. a - calculate the length of its side b - calculate the area of the diamond if its height measures 5 dm - Circumference 19603
The rhombus has the dimensions a = 9.1 cm; b = 8 cm; height to side a: va = 7.3 cm. Calculate the circumference, area, and size of the second height. - Perpendicular 7712
Calculate the length of the shadow of a ladder 8 m long leaning against a 6 m high wall. (the sun shines perpendicular to the ladder - see picture). - Corresponding 7621
The length of the circular arc at the corresponding angle of 120 ° is 8 cm. What is the size of the whole circle? What is its radius? - Circumference 7052
The trapezoid ABCD is given (AB || CD, AB perpendicular to AD). Calculate its circumference if | AB | = 20cm, | CD | = 15cm, | AD | = 12cm. Pythagorean theorem - Circumference 3170
Suppose we enlarge the side of the square by half the length, and the circumference of the square increases by 24 cm. Calculate the original side length. - A triangle 4
A triangle has a perimeter of 18a + 6b + 15 and has sides of lengths 5a + 7 and 8a +4b. What is the length of the third side? Write an expression and simplify it to find the solution to the problem.
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