Examples of area of plane shapes - page 32 of 131

Number of problems found: 2617

Triangle Euclid parameters
Using Euclid's Theorems and Pythagoras' Theorem, complete the following parameters describing a right-angled triangle ABC with a right angle at vertex C if we know b=10, cb=8
Triangle tangent area
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.
Square side increase
We increased the side of the square by 12% from the original 15cm. For a, what was the perimeter and area of the new square? By what percent did the perimeter and area increase?
Square side reduction
A square has a side length of 25 cm. How big is its area if the side is reduced by 25%?
Two conductors
Two conductors have resistance Rs=5 ohms when connected in series and Rp=1.2 ohms when connected in parallel. Calculate the value of the resistors.
Parallelogram - sides
A parallelogram has a perimeter of 30 cm and heights of 10 cm and 6 cm. Find the lengths of its sides.
Rafael
Rafael has three squares. The first square has a side length of 2 cm. The second square has a side length of 4 cm, and its vertex is placed in the center of the first square. The last square has a side length of 6 cm, and its vertex is placed in the cente
Square triangle area
The area of the ABCD square in the picture is 36 cm². Points E and F are the centers of the square BC and CD sides. What is the area of the triangle AEF in cm²?
Circular segment
What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm²?
Circle segment
A quarter circle with a radius of 4 has the same area as a circle segment with a radius of 3. What is the magnitude of the center angle of the circle segment?
Picture 2
The picture free is 14.2 cm long and 10.4 cm wide. The frame has a uniform border of 2.6 cm. Find the area of the photograph.
Cups of paint
I have a board that is 2 meters wide and 3 meters tall. Suppose one cup of paint cover 1,000 square centimeters. How many cups of paint do I need?
Inscribed circle
A circle is inscribed in the triangle with sides of 13 cm, 14 cm, and 15 cm. What is its radius?
A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm.
Diamond side area
The circumference of the diamond is 29.6dm. a - calculate the length of its side b - calculate the area of the diamond if its height measures 5 dm
Rectangles
How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles.
Company logo
The company logo consists of a blue circle with a radius of 4 cm and an inscribed white square. What is the area of the blue part of the logo?
Rectangle area calculation
The rectangle has a circumference of 30 cm, and its width is 3 cm shorter than its length. What is its area?
Concentric circles
There is given a Circle K with a radius r = 8 cm. How large must a radius have a smaller concentric circle that divides the circle K into two parts with the same area?
National park
In the national park, the ratio of the wooded area to grassland is 4:1. The total area is 385 km². What area is wooded?

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