Planimetrics - math word problems - page 97 of 170
Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.Number of problems found: 3388
- Proportion 7716
The area of Asia and Africa is 8:7, and the area of Europe and Africa is 5:6. In what proportion are the sizes of regions of Asia, Africa, and Europe? - Calculate 3167
The area of the two circles is in a 4: 9 ratio. The larger circle has a diameter of 12 cm. Calculate the radius of the smaller circle. - Divide
Divide the area of rectangles with dimensions of 32m and 10m by the ratio of 7:9. What area corresponds to a smaller section? - Lift
The largest angle at which the lift rises is 16°31'. Give climb angle in permille.
- Velocipede
The front wheel of the velocipede from the year 1880 had a diameter 1.8 m. Suppose the front wheel is turned again once, then the rear wheel six times. What was the diameter of the rear wheel? - Expansion
If one side of the rectangle is larger 2-times and the second 4-times, what percentage increases the area of the rectangle? - Corresponding 82704
On the circular face of the clock, we connect the points corresponding to the numbers 2, 5, and 9 to each other, which creates a triangle. Calculate the sizes of all interior angles. - Reduced 81099
A square has a side length of 25 cm. How big is its area if the side is reduced by 25%? - Original 45871
Resize the square to 7:3. The original size is 39cm. What is the size of the square after the change?
- Percentage 16423
The pizza has the shape of a circle and is divided into eight equal parts. My mother ate three parts. What percentage of pizza is left? - Dimensions 9371
Change both dimensions of the rectangle in a ratio of 5:3. Initially, the dimensions are 9cm and 15cm. What are the dimensions of the rectangle after the change? - Diameter 6289
A circle with the largest possible diameter is cut from a square with a side length of 35 cm. What percent of the square area is waste? - Uphill garden
I have a garden uphill, increasing from 0 to 4.5 m for a length of 25 m. How much is the climb in percent? - Horizontal distance
The road has a gradient of 8%. How many meters will the road rise on a horizontal distance of 400m?
- Screens
The area of a 25-inch TV screen is 300 inch² the area of a 40-inch TV screen is 768 inch². The area of the smaller screen is what percent of the area of the larger screen? - Cutting square
We cut the circle with the highest possible diameter from a square with a side of 30 cm. How many percents of the square area is this circle? - 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? - Enlarged rectangle
The rectangle has dimensions of 8 cm and 12 cm. We enlarge it in a ratio of 5:4. What are the circumference and the area of the enlarged rectangle? - Diameters of circles
How many percent of the area of a larger circle is a smaller circle if the smaller circle has a diameter of 120 mm and a larger one has a diameter of 300 mm?
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