📐 geometry

1. **State the problem:** Draw a circle with radius 7 cm. 2. **Recall:** A circle is all points equidistant from the center.

1. **State the problem:** We need to find the diameter of a circle given its radius. 2. **Formula:** The diameter $d$ of a circle is twice the radius $r$. This is expressed as:

1. **State the problem:** We have a right triangle with legs measuring 6 cm and 8 cm. We need to find the length of the hypotenuse. 2. **Formula used:** In a right triangle, the Py

1. **State the problem:** We have a right triangle with legs measuring 6 cm and 8 cm. We need to find the length of the hypotenuse. 2. **Formula used:** In a right triangle, the Py

1. Stating the problem: Draw a left triangle, i.e., a right triangle whose right angle is on the left side.\n2. Definition: A right triangle has one angle equal to $90^\circ$.\n3.

1. **Stating the problem:** We need to understand what right and left triangles are, explain their properties, and provide a drawing. 2. **Definition of a right triangle:** A right

1. **State the problem:** We have a piece of land with length 10 meters and width 5 meters. We want to find 90% of the total area of this land to be used for building a house. 2. *

1. The problem states that quadrilateral PQRS is dilated by a scale factor of 2 with the center of dilation at the origin. We need to find the coordinates of point S' after dilatio

1. **State the problem:** We are given a quadrilateral with vertices labeled \(\pi\), \(x\), \(y\), and \(z\). The angles at vertices \(x\) and \(y\) are given as \((13x - 7)^\circ

1. **State the problem:** Calculate the distance from the center of a circle to its border given a radius. 2. **Formula:** The distance from the center to the border of a circle is

1. **State the problem:** We want to find the distance from the center of a circle to its border. 2. **Formula and explanation:** The distance from the center of a circle to any po

1. **State the problem:** We need to find the area of a trapezoid with bases of lengths 8 cm and 12 cm, and a height of 4 cm. 2. **Formula for the area of a trapezoid:**

1. **State the problem:** We need to find the area of a trapezoid with bases of lengths 8 cm and 12 cm, and a height of 4 cm. 2. **Formula for the area of a trapezoid:**

1. **State the problem:** We need to find the total surface area of a cube with edge length 3 cm. 2. **Formula:** The total surface area $A$ of a cube with edge length $s$ is given

1. **State the problem:** We need to find the total surface area of a cube with an edge length of 3 cm. 2. **Formula:** The total surface area $A$ of a cube with edge length $s$ is

1. **State the problem:** We have a rectangle with length 16 m and width 12 m. We need to shade 30% of its area on the left side and label all side lengths and right angles. 2. **C

1. **State the problem:** We have a rectangle with length 16 m and width 12 m. We need to shade 30% of its area on the left side and label all side lengths and right angles. 2. **C

1. **State the problem:** We need to find the area of a parallelogram with a base of 9 cm and a height of 5 cm. 2. **Formula for the area of a parallelogram:**

1. **State the problem:** We need to find the area of a triangle with a base of 10 cm and a height of 6 cm. 2. **Formula for the area of a triangle:**

1. **State the problem:** We need to find the area of a rectangle with length 12 cm and width 5 cm. 2. **Formula:** The area $A$ of a rectangle is given by the formula:

1. **Problem statement:** We have a polygon divided into two parallelograms with given angles 48° and 117° at the top parts. We need to find the angle measure at the bottom point.