Planimetrics - math word problems - page 45 of 184
Number of problems found: 3673
- Calculate 19653
Calculate the height of the rhombus ABCD on the side a if a = 58 dm and its area is 49.3 m2
- Circumference 7823
The bases are 9 cm and 5 cm long in a rectangular trapezoid. The length of the shorter arm is 3 cm. Calculate its circumference and area.
- Circular 6760
What circular track radius must a runner run six times to run 1.8km?
- The parallelogram
The circumference of the parallelogram is 79.5 m, and its shorter side is half the longer side. What is the length of which side of the parallelogram?
- Diameter 5668
The span of the arc is 247 cm, and the height of the arc is 21.5 cm. What is the diameter of the circle?
- Circumference 4430
There is an isosceles triangle with a circumference of 36 cm, and the height at the base is 12 cm long. Calculate the length of the arm of a given triangle.
- 144 steps
To get around the garden, we have to take 144 steps—eight steps less in width than in length. One step is five decimetres long. What are the dimensions of the garden? What are its perimeter and its area?
- Height and base
An isosceles triangle has an area of 168 cm², and its added height and base are 50 cm. What are the measurements of its height and base?
- Second side
Calculate the length of the other side of the rectangle if its circumference is 60 cm, and one side is 10 cm long.
- Concentric circles
There is given a Circle K with a radius r = 8 cm. How large must a radius have a smaller concentric circle that divides the circle K into two parts with the same area?
- Land
A rectangular, triangular piece of land has an area of 30 square meters and a 12 meter-long leg. How many meters of fence do you need to fence this piece of land?
- Diamond diagonals
Calculate the diamonds' diagonal lengths if the diamond area is 156 cm square and the side length is 13 cm.
- Four circles
1) Calculate the circle radius if its area is 400 cm square 2) Calculate the radius of the circle whose circumference is 400 cm. 3) Calculate circle circumference if its area is 400 cm square 4) Calculate the circle's area if the perimeter is 400 cm.
- Rectangular 83244
The rectangular pool has dimensions of 25 meters and 12.5 meters. A 2-meter wide path surrounds the pool. How many square meters of tiles are needed to pave a sidewalk?
- Interior 39791
For the interior angles of a triangle, the angle β is twice as large, and the angle γ is three times larger than the angle α. Is this triangle right?
- Determine 39503
In a right triangle, one acute angle is 20° smaller than the other. Determine the size of the interior angles in the triangle.
- Height
The area of the triangle is 35 cm². The length of the base is 10 cm. Determine the length of the height on the base.
- Circumference 24601
The triangle has a circumference of 19.5 cm. From the formula for calculating its circumference, express successively unknown a, b, c. Then over by substituting: a = 8 cm; b = 6.5 cm; c = 5 cm. (always count the expressed side)
- Height to the base
The triangle area is 35 cm². The size of the base is 10 cm. Find the length of height to the base.
- Circle's chords
The circle has two chord lengths, 30 and 34 cm. The shorter one is from the center twice as a longer chord. Determine the radius of the circle.
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