Planimetry - math word problems - page 113 of 187
Number of problems found: 3739
- Diameters of euro coins
When paying, we use euro coins with the following diameters: The 10-cent coin has a diameter of 19.75 mm. The 20-cent coin has a diameter of 22.25 mm. The 50-cent coin has a diameter of 24.25 mm. Find out in what ratio the diameters of these coins are. - Given is
The circle is given by the equation x² + y² − 4x + 2y − 11 = 0. Calculate the area of the regular hexagon inscribed in this circle. - A circle 2
A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is r units. The point (-15, y) lies in this circle. What are r and y (or y1, y2)? - Triangle IRT
An isosceles right triangle ABC with a right angle at vertex C has vertex coordinates: A (-1, 2); C (-5, -2). Calculate the length of segment AB. - Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2). - Equation of circle
Find an equation of the circle with indicated properties: a. center at (-3,5), diameter 20. b. center at origin and diameter 16. - Dividing Rectangular Plot
Jan bought a large rectangle plot with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of the same length. Their longer sides are three consecutive natural numbers. Find out each plot's dimens - Square side increase
We increased the side of the square by 12% from the original 15 cm. For a, what was the perimeter and area of the new square? By what percent did the perimeter and area increase? - Picture ratio reduction
The picture for the textbook was reduced to a ratio of 2:5. What are the dimensions of the reduced image if the original dimensions were 20 cm and 15 cm? - Square side reduction A square has a side length of 25 cm. How big is its area if the side is reduced by 25%?
- 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? - Circle in rectangle
We cut the largest possible circle from a paper rectangle with 25 cm and 15 cm sides. How many % of the area of the rectangle is the area of the circle? - Square - increased perimeter
How many times is the increased perimeter of the square, where its sides, increased by 150%? If the perimeter of the square increases twice, how much % increases the area of the square? - Ratio - rectangle
The rectangle has dimensions of 6 cm and 9 cm. If its dimensions are increased in the ratio 5:3, how many times does its area increase, and how many times does its perimeter increase? - Obtuse angle
Line OH is the height of the triangle DOM, and line MN is the bisector of angle DMO. the Obtuse angle between the lines MN and OH is four times larger than the angle DMN. What size is the angle DMO? (see attached image) - Three points
Three points: A (-3;-5), B (9;-10), and C (2;k). AB=AC What is the value of k? - Triangle measurements
Given a triangle KLM points K [-3.2] L [7, -3] M [8.5]. Calculate the side lengths and perimeter. - Medians and sides
Triangle ABC in the plane Oxy has the coordinates of the points: A = 2.7 B = -4.3 C-6-1 Try to calculate the lengths of all medians and all sides. - Unit vector 2D
Find coordinates of unit vector to vector AB if A[3; 6], B[15; -8]. - Cu thief
A thief stole 25 metres of copper wire with a cross-sectional area of $s mm². Calculate how much money the thief receives by selling it as scrap if copper fetches 5.1 EUR/kg. The density of copper is 8.96 t/m³.
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