# The area of angle problems

#### Number of problems found: 115

• Triangle Calculate the area of the right triangle ΔABC if one leg is long 14 and its opposite angle is 59°.
• SAS triangle The triangle has two sides long 7 and 19 and included angle 36°. Calculate area of this triangle.
• Rhomboid Calculate the circumference and area of the rhomboid with sides 20 and 14, with their angle 50°.
• Isosceles Isosceles trapezium ABCD ABC = 12 angle ABC = 40 ° b=6. Calculate the circumference and area.
• Irrigation sprinkler The irrigation sprinkler can twist with an angle of 320° and has a reach of 12 meters. Which area can irrigate?
• Parallelogram +ľ | AB | = 76cm, | BC | = 44cm, angle BAD = 30 °. Find the area of the parallelogram.
• Area and two angles Calculate the size of all sides and internal angles of a triangle ABC, if it is given by area S = 501.9; and two internal angles α = 15°28' and β = 45°.
• Quadrangular pyramid Calculate the surface area and volume of a regular quadrangular pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =?
• Diagonal Diagonal of the rectangle has length 46.4 cm. Angle between diagonal and londer sife of rectangle is 22°. Calculate area of the rectangle.
• Circle arc Calculate the circular arc area in m2 where the diameter is 290 dm, and a central angle is 135°. Result round to three decimal places.
• House roof The roof of the house has the shape of a regular quadrangular pyramid with a base edge 17 m. How many m2 is needed to cover roof if roof pitch is 57° and we calculate 11% of waste, connections and overlapping of area roof?
• Parallelogram Calculate area of the parallelogram ABCD as shown if |AB| = 19 cm, |BC| = 18 cm and angle BAD = 90°
• Circle sector Circular sector with a central angle 160° has area 452 cm2. Calculate its radius r.
• Angle of diagonals Calculate the perimeter and the area of a rectangle if its diagonal is 14 cm and the diagonals form an angle of 130°.
• Octagon from rectangle From tablecloth rectangular shape with dimensions of 4 dm and 8 dm we cuts down the corners in the shape of isosceles triangles. It thus formed an octagon with area 26 dm2. How many dm2 we cuts down?
• Circular segment Calculate the area S of the circular segment and the length of the circular arc l. The height of the circular segment is 2 cm and the angle α = 60°. Help formula: S = 1/2 r2. (Β-sinβ)
• 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
• Jewel Rhombus-shaped jewel has an area of 93 mm2 and the edge in long 13.2 mm. Calculate the size of the rhombus acute angle.
• Circle and angle What is the length of the arc of a circle with radius r = 207 mm with cental angle 5.33 rad?
• Arc and segment Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. Radius of the circle is 11 and corresponding angle is ?.

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Examples of area of plane shapes. Angle Problems.