Planimetrics - math word problems - page 33 of 169
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.Number of problems found: 3378
- Rail turn
The curve radius on the railway line is 532 m. The length of the rail track on it is 818 m. How many degrees is the angle ASB if A and B are boundary points and S is the center of the arc curve? - Sea
How far can you see from the ship's mast, whose peak is at 14 meters above sea level? (Earth's radius is 6370 km). - Garden
The garden has two opposite parallel fences. Their distance is 33.1 m. Lengths in these two fences are 75.5 meters and 49.4 meters. Calculate the area of this garden. - 4-gon
Is it true that a 4-gon whose two sides are parallel and the other two have equal length is a parallelogram? - Circumscription
Calculate the radius of the Circumscribed circle in the rectangle with sides 20 and 19. Can it be a rectangle inscribed by a circle? - Cable
The cable consists of 8 strands. Each strand consists of 12 wires with a diameter of d = 0.5 mm. Calculate the cross-section of the cable. - Square
Calculate the area of the square with diagonal 64 cm. - Meridian
What is the distance (length) of the Earth's meridian 15° when the radius of the Earth is 6370 km? - Diagonal
Can it be a diagonal diamond twice longer than its side? - Diagonal
Can a rhombus have the same length, diagonal, and side? - Chord
The point on the circle is the endpoint of diameter and endpoint of the chord length of the radius. What angle between chord and diameter? - Median
In the right triangle are sides a=96 dm b=31 dm. Calculate the length of the medians tc to the hypotenuse. - Clock
How long is the trajectory of the second hand of hours for day, if it is 15 mm long? - Track arc
Two straight tracks are at an angle 74°. They will join with a circular arc with a radius r=1127 m. How long will the arc be connecting these lines (L)? How far is the arc's center point from track crossings (x)? - Triangle
Calculate the triangle's heights ABC if the triangle's sides are a=82, b=44, and c=53. - Diamond
Find the side of the diamond if its area is S = 490 cm² and one diagonal u2 = 39 cm. - ABS CN
Calculate the absolute value of the complex number -15-29i. - Circle and angle
What is the length of the arc of a circle with radius r = 207 mm with central angle 5.33 rad? - Area of trapezoid
The trapezoid bases are 7 cm and 9 dm. Its height is 6 cm. Calculate the area of the trapezoid. - Rectangular trapezoid
How many inner right angles have a rectangular trapezoid?
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