Examples of area of plane shapes - page 10
- Spherical cap
What is the surface area of a spherical cap, the base diameter 20 m, height 2 m.
- Flowerbed 2
Around the square flower bed in a park is sidewalk 2 m wide. The area of this sidewalk is 243 m2. What is the area of the flowerbed?
- Circle sector
Circular sector with a central angle 80 ° has area 1257 cm2. Calculate its radius r.
- Field with vegetables
Field planted with vegetables has shape of a rectangular isosceles triangle with leg length of 24 m. At the vertices of the triangle are positioned rotating sprinklers with a range of 12 m. How much of the field sprinkler doesn't irrigated?
The rhombus with area 68 has one diagonal is longer by 6 than second one. Calculate the length of the diagonals and rhombus sides.
- The body
The body on the figure consists of cubes with an edge length 10 cm. What surface has this body?
- SAS triangle
The triangle has two sides long 7 and 19 and included angle 36°. Calculate area of this triangle.
- Katy MO
Kate draw triangle ABC. Middle of AB have mark as X and the center of the side AC as Y. On the side BC wants to find the point Z such that the content area of a 4gon AXZY was greatest. What part of the triangle ABC can maximally occupy 4-gon AXZY?
- Trapezium zoom
How many times increase area of trapezoid if all sides and altitude increase 5 times?
- Rectangle vs square
The rectangle has dimensions of 13 × 10, square 8 × 8. Which shape has more area and how much above?
Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius).
Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high he flies?
If we increase side of the square, increase its area of 63%. What is the percentage we increase side of the square?
- Isosceles triangle
The perimeter of an isosceles triangle is 112 cm. The length of the arm to the length of the base is at ratio 5:6. Find the triangle area.
- Square tiles
The room has dimensions 12 meters and 5.6 meters. Determine the number of square tiles and their largest dimension to exactly cover the floor.
- Juice box
The juice box has a volume of 200ml with its base is an isosceles triangle with sides a = 4,5cm and a height of 3,4cm. How tall is the box?
Diagonal of the rectangle has length 46.4 cm. Angle between diagonal and londer sife of rectangle is 22°. Calculate area of the rectangle.
- ISO trapezoid v2
bases of Isosceles trapezoid measured 12 cm and 5 cm and its perimeter is 21 cm. What is the are of a trapezoid?
- Trapezoid IV
In a trapezoid ABCD (AB||CD) is |AB| = 15cm |CD| = 7 cm, |AC| = 12 cm, AC is perpendicular to BC. What area has a trapezoid ABCD?
- Square prism
Calculate the volume of a square prism of high 2 dm wherein the base is: rectangle with sides 17 cm and 1.3 dm