# Planimetrics - math word problems

Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.- Circle

From the equation of a circle: ? Calculate the coordinates of the center of the circle S[x_{0}, y_{0}] and radius of the circle r. - Medians

Calculate the sides of a right triangle if the length of the medians to the legs are t_{a}= 21 cm and t_{b}=12 cm. - Rhombus

It is given a rhombus of side length a = 19 cm. Touch points of inscribed circle divided his sides into sections a_{1}= 5 cm and a_{2}= 14 cm. Calculate the radius r of the circle and the length of the diagonals of the rhombus. - Rectangle

In rectangle ABCD with sides |AB|=19, |AD|=16 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio ?. - Rectangle vs square

The rectangle has dimensions of 13 × 10, square 8 × 8. Which shape has more area and how much above? - Rhomboid

Calculate the circumference and area of the rhomboid with sides 20 and 14, with their angle 50°. - Windows

Calculate the area of masonry to build wall with dimensions of 9 m × 4 m with 4 windows of size 64 cm × 64 cm. - Carpet

The room has rectangle shape with dimensions 4 m × 3.8 m. How many meters of carpet a width of 3 need to buy to cover the entire room? - Right Δ

A right triangle has the length of one leg 11 cm and length of the hypotenuse 61 cm. Calculate the height of the triangle. - Area of RT

Calculate the area of a right triangle that hypotenuse has length 14, and one hypotenuse segment has length 5. - Laws

From which law follows directly the validity of Pythagoras' theorem in the right triangle? ? - Area 4gon

Calculate area of 4-gon, two and the two sides are equal and parallel with lengths 11, 5, 11 and 5. Inner angles are 45°, 135°,45°, 135°. - Radians

Convert 270° to radians. Write result as multiple of number π. - Hypotenuse and height

In a right triangle is length of the hypotenuse c = 56 cm and height h_{c}= 4 cm. Determine the length of both trangle legs. - Radius

Determine the radius of the circle, if its perimeter and area is the same number. - Trapezoid MO

The rectangular trapezoid ABCD with right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Trapezoid

Are diagonals in a rectangular trapezoid perpendicular and bisect the angles? - Arc

Circle arc corresponding to angle is 32° is 28 dm long. What is the length of the entire circle? - Described

Calculate perimeter of the circle described by a triangle with sides 478, 255, 352. - Intersections

How many intersections have circles with radius 16 mm and 15 mm, if the distance of their centers is 16 mm.

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