Area of Angle Problems
Number of problems found: 254
- 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
- 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?
- Equilateral triangle
Calculate the side of an equilateral triangle if its area is 886 mm².
- Rhomboid
Calculate the circumference and area of the rhomboid with sides 19 and 20, with their angle 40°.
- Calculate 25621
Calculate the area of a regular hexagon inscribed in a circle with a radius r = 7 cm.
- Triangle
Calculate the area of the right triangle ΔABC if one leg is long 12 and its opposite angle is 47°.
- Percentage - rhombus
If the rhombus side in the image increases by half, by what percentage will the area of the rhombus increase?
- Irrigation sprinkler
The irrigation sprinkler can twist at an angle of 320° and reach 12 meters. Which area can you irrigate?
- Circle inscribed
Calculate the perimeter and area of a circle inscribed in a triangle measuring 3, 4, and 5 cm.
- Quadrant II
Calculate the radius of the quadrant, which area is equal to the area of the circle with radius r = 15 cm.
- A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm.
- The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX?
- Maximum area of rhombus
Calculate the interior angles at which the equilateral rhombus has a maximum area.
- Pentagon
Calculate the area of a regular pentagon whose diagonal is u=18 long.
- Calculate 48073
Calculate the area of the isosceles trapezoid ABCD if a = 14 cm, c = 8 cm, and the size of the angle DAB is 52 °.
- Circular segment
Calculate the area of a circular segment if the radius r = 80 cm and the central angle is α = 110°.
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