Area of Angle Problems - page 3 of 13
Number of problems found: 249
- 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? - Isosceles right triangle
The area of an isosceles right triangle is 18 dm². Calculate the length of its base. - Rhomboid
Calculate the circumference and area of the rhomboid with sides 19 and 20, with their angle 40°. - Hypotenuse 3554
Calculate the hypotenuse length if you know the area of an isosceles right triangle that is 24.5 cm square. - Circumscribed circle
In triangle ABC, we know a = 4 cm, b = 6 cm, γ = 60°. Calculate the area and radius of the inscribed and circumscribed circle. - A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm. - Right isosceles triangle
The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse, dividing it into two equal segments. One segment is 5 cm long. What is the area of the triangle?
- Circular arc
Calculate the center angle and length of the circular arc if the radius r = 21 cm and the area of the slice is 328.5 cm² - Calculate 7580
The isosceles triangle XYZ has a base of z = 10 cm. The angle to the base is the sum of the angles at the base. Calculate the area of the triangle XYZ. - Rhombus 48
A rhombus consists of four identical rhombuses with an area of 42 m². The angle alpha of each rhombus is 60°. What is its perimeter? - Perpendicular parking
Which parking lot for 5 cars occupies a larger area, perpendicular or inclined at an angle of 45°, and how much? The car has dimensions of 4m and 2m. - Diagonal
The diagonal of the rectangle has a length of 41.4 cm. The angle between the diagonal and longer side of the rectangle is 26°. Calculate the area of the rectangle. - 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 °. - Circumscribed circle ABC
Triangle ABC, with sides a = 15 cm, b = 17.4 cm, and c = 21.6 cm, is circumscribed by a circle. Calculate the area of the segments determined by the sides of the triangle. - Rectangular trapezoid
Calculate the area of a rectangular trapezoid with a right angle at point A and if |AC| = 4 cm, |BC| = 3 cm, and the diagonal AC is perpendicular to the side BC.
- Pentagon
Calculate the area of a regular pentagon whose diagonal is u=18 long. - Hexagon area
The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area. - ISO trapezium
Calculate the area of an isosceles trapezoid with base 95 long, leg 27 long, and with the angle between the base and leg 70 degrees. - Diagonals of pentagon
Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12dm; b) a circumscribed circle with a radius of 12dm. - Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=15 cm.
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Examples of area of plane shapes. Angle practice problems.
