Area of Angle Problems
Number of problems found: 249
- Two wipers
What A car has two wipers which do not overlap. Each wiper has a blade of length 21 cm, sweeping through an angle of 120°. Find the total area cleaned at each sweep of the blades.
- Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.
- Consecutive Interior Angles
PQRS is a trapezium in which PQ is parallel to SR and ∠P = 130 ̊, ∠Q = 110 ̊. Find the remaining angles.
- Trapezoid - RR
Find the area of the right-angled trapezoid ABCD with the right angle at the A vertex; a = 3 dm b = 5 dm c = 6 dm d = 4 dm
- Percentage - rhombus
If the rhombus side in the image increases by half, by what percentage will the area of the rhombus increase?
- Modulus and argument
Find the mod z and argument z if z=i
- Equilateral triangle v2
An equilateral triangle has a perimeter 36 dm. What is its area?
- Angles
Find the interior angles of a rhombus with area 72 cm² and perimeter 48 cm.
- An isosceles trapezoid
An isosceles trapezoid has base angles of 50° each, and its bases are 20 cm and 30 cm. Compute its area.
- Trapezoid
The rectangular trapezoid ABCD with a right angle at the vertex A has sides a, b, c, and d. Calculate the circumference and the area of the trapezoid if given: a = 25cm, c = 10cm, d = 8cm
- Constructed 77874
Squares are constructed above the overhangs and the transom. Connecting the outer vertices of adjacent squares creates three triangles. Prove that their areas are the same.
- Calculate 8325
Calculate the area of a circular section given by an angle of 220 degrees if the circle's radius is 20cm. Round the result to cm2
- Equilateral triangle
Calculate the side of an equilateral triangle if its area is 886 mm².
- Calculate 81950
The tangent of the angle formed by the adjacent sides of the triangle ABC (side a=29 m, b = 40 m) equals 1.05. Calculate the area of that triangle.
- Circle arc + section
Calculate the length of the arc of a circle and the volume of a circular section if the circle's radius is 8.3 centimeters and the central angle alpha=104 degrees.
- Circular segment
What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm²?
- Jewel
Rhombus-shaped jewel has an area of 109 mm², and the edge is long 13 mm. Calculate the size of the acute rhombus angle.
- Calculate 58953
Calculate the area of a circular line if the radius r = 80 cm and the central angle is α = 110 °.
- Calculate 25621
Calculate the area of a regular hexagon inscribed in a circle with a radius r = 7 cm.
- Parallelogram 44
Parallelogram ABCD has an area of 32 cm2, lABl=8cm, lBCl=5cm. Calculate the sizes of its interior angles.
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Examples of area of plane shapes. Angle practice problems.