📐 geometry

1. **State the problem:** We need to find the area of a compound figure composed of several rectangles and squares with given side lengths. 2. **Identify the shapes and their dimen

1. **State the problem:** We need to find the total surface area of a solid cylinder with radius $r = 5.1$ cm and height $h = 3.7$ cm. 2. **Formula for total surface area of a cyli

1. **State the problem:** We need to find the surface area of a cylinder with radius $r=4$ cm and height $h=9$ cm, using $\pi = 3.14$. The surface area includes the areas of the tw

1. **Problem Statement:** Given a triangle with points A, B, C, D, E, F, G such that AB = BC, BG = GF, and DE = EF, show that AG = 3GE.

1. **Problem Statement:** Given a geometric figure with points A, B, C, D, E, F, G, where AB = BC, BG = GF, and DE = EF, show that AG = 3GE. 2. **Given:**

1. **Problem Statement:** We have a parallelogram ABCD with diagonal BD. Points P and Q lie on sides AB and CD respectively such that angles labeled P2 and Q2 are equal.

1. **Problem statement:** We have two similar shapes A and B. Shape A has width 3 cm and height 6.5 cm. Shape B has width 12 cm and unknown height $h$. We need to find $h$. 2. **Fo

1. **State the problem:** Find the distance between two points in the coordinate plane. 2. **Formula:** The distance $d$ between two points $A(x_1, y_1)$ and $B(x_2, y_2)$ is given

1. The problem involves identifying the coordinates of two points on a coordinate plane. 2. The first point is located in the top-right quadrant (Quadrant I) at coordinates $(1,1)$

1. The problem shows a rectangle with sides labeled 8 and 4 on the top, and 4 and 2 on the bottom, and a circle inside it. We need to understand the relationship between these numb

1. **Problem 18:** A composite solid is made by drilling a cylindrical hole of radius 2 cm and height 10 cm through the center of a solid cylinder of radius 5 cm and height 10 cm.

1. **State the problem:** We have three circle graphs with labeled sectors and arcs. We need to identify: a) Which label corresponds to a major arc?

1. **Problem Statement:** We are given a circle centered at point O with several radius lines and a diameter line labeled with lengths.

1. **سؤال 1:** القطعة المستقيمة المرسومة بين متوسطى أي ضلعين في مثلث ............... الضلع الثالث. - هذه القطعة تسمى "الوتر المتوسط" أو "الوتر المتوسط في المثلث".

1. **Problem statement:** We have a regular hexagonal pyramid with a lateral edge of length 6 cm and a base side length of 3 cm. We need to find its volume in cubic centimeters. 2.

1. **Problem Statement:** Find the area difference between a square of side length 7 units and a quarter circle of radius 7 units inscribed inside it.

1. **State the problem:** We have a regular triangular pyramid (tetrahedron) with an altitude (height) of 11 m and a volume of 45.8 m³. We need to find the lateral area of the pyra

1. Let's clarify the problem you are referring to. It seems you are talking about a question involving area, possibly of a shape, and you obtained 28 cm squared as the answer. 2. T

1. **State the problem:** We are given a map scale of 1 : 10,000, which means 1 cm on the map represents 10,000 cm in real life. 2. **Formula used:** To find the real-life distance

1. **Problem 5(i): Area of shaded section in a square with quarter circle** - Given: Square side = 7 cm, quarter circle radius = 7 cm.

1. **Проблем:** Имаме кружница со радиус 1 во рамнината $z=1$ со центар во точката $c=(1,1,1)$. Дијаметарот е паралелен со $y$-оската и има крајни точки $A=(1,0,1)$ и $B=(1,2,1)$.