Planimetry - math word problems - page 171 of 187
Number of problems found: 3739
- Central angle calculation
There is a circle with a radius of 10 cm and its chord, which is 12 cm long. Calculate the magnitude of the central angle that belongs to this chord. - Roof angle
The house's roof has the shape of an isosceles triangle with arms 4 m long and the size of the base 6 m. How big an angle alpha does its roof make? - Triangle circle construction
The vertices of the triangle ABC lie on the circle k. The circle k is divided into three parts in a ratio of 1:2:3. Construct this triangle. - Sun and shadow
The pole is stuck vertically into the ground. The protruding length is 1 m. What is the length of the shadow cast when the sun is just 50° above the horizon? - Aircraft altitude calculation
Radar sees an aircraft at an altitude angle of 15°24', and the direct distance from the radar is 5545 m. At what altitude does the aircraft fly? - KLM triangle
Find the length of the sides of the triangle KLM if m = 5 cm height to m = 4.5 cm and size MKL angle is 70 degrees. - Tree height
Calculate the height of the tree - data - from a distance of 41 m at an angle of 15 degrees. I will see it in its entirety. - Regular n-gon
Which regular polygon has a circumscribed circle radius of r = 10 cm and an inscribed circle radius of p = 9.962 cm? - ISO trapezium
Calculate the area of an isosceles trapezoid with base 50 long, leg 12 long, and with the angle between the base and leg 70 degrees. - Isosceles trapezoid
Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 5 cm and |CAB| = 41°. Calculate area of the trapezoid. - IS triangle
Calculate the interior angles of the isosceles triangle with base 12 cm and legs 19 cm long. - Isosceles triangle
An isosceles triangle with base c and arms a is given by: a = 50.3 cm c = 48.2 cm Determine the interior angles and heights of the base c. - Heptagon perimeter
Calculate a regular heptagon's perimeter if its shortest diagonal length is u=14.5 cm. - Rhomboid
The rhomboid sides' dimensions are a= |AB|=5 cm, b = |BC|=6 cm, and the angle's size at vertex A is 60°. What is the length of the diagonal AC? - Semicircles
In a rectangle with sides of 4 cm and 8 cm, there are two different semicircles, each with its endpoints at adjacent vertices and touching the opposite side. Construct a square such that two of its vertices lie on one semicircle, the other two vertices li - The chord - angle
The distance of the chord from the center is 6 cm. The central angle is 60°. Calculate the area of the circular segment. - Parallelogram
Find the parallelogram's perimeter, where base a = 8 cm, height v = 3 cm, and angle alpha = 35° is the magnitude of the angle at vertex A. - Children playground
The playground has a trapezoid shape, and the parallel sides have a length of 36 m and 21 m. The remaining two sides are 14 m long and 16 m long. Find the size of the inner trapezoid angles. - What is 19
What is the length of the hypotenuse c of right triangle ABC if the angle α at vertex A is 30° and leg a = 3 cm? - Big tree
You are standing 20 feet away from a tree, and you measure the elevation angle to be 38°. How tall is the tree?
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