Semicircles
In a rectangle with sides of 4 cm and 8 cm, there are two different semicircles, each with its endpoints at adjacent vertices and touching the opposite side.
Construct a square such that two of its vertices lie on one semicircle, the other two vertices lie on the other semicircle, and its sides are parallel to the sides of the rectangle.
Your answer:
Construct a square such that two of its vertices lie on one semicircle, the other two vertices lie on the other semicircle, and its sides are parallel to the sides of the rectangle.
Your answer:
Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and are looking for a solution? Or do you have a quadratic equation?
Do you have a linear equation or system of equations and are looking for a solution? Or do you have a quadratic equation?
You need to know the following knowledge to solve this word math problem:
algebraplanimetrybasic operations and conceptsthemes, topics
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Larger perimeter
A square and a circle pass through two adjacent vertices of the square (endpoints of side a) and the center of the opposite side (c). Which of the plane shape has a larger perimeter? - In an
In an ABCD square, n interior points are chosen on each side. Find the number of all triangles whose vertices X, Y, and Z lie at these points and on different sides of the square. - N points on the side
An equilateral triangle A, B, and C on each of its inner sides lies N=13 points. Find the number of all triangles whose vertices lie at given points on different sides. - Recursion squares
In the square, ABCD has inscribed a square so that its vertices lie at the centers of the sides of the square ABCD. The procedure of inscribing the square is repeated this way. The side length of the square ABCD is a = 20 cm. Calculate: a) the sum of peri - Triangle construction
Draw a circle k (S, r = 3 cm). Build a triangle ABC so that its vertices lie on the circle k and the length of the sides is (AB) = 2.5 cm (AC) = 4 cm - Rhombus construction
Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it, touching all sides. - Math heart
A stylized heart shape is created from a square with a 5 cm long side and two semicircles over its sides. Calculate the area and its circumference.
