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📐 geometry

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Rectangle Circle
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
Composite Solids
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.
Circle Parts
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?
Circle Radius Diameter
1. **Problem Statement:** We are given a circle centered at point O with several radius lines and a diameter line labeled with lengths.
Geometry Questions
1. **سؤال 1:** القطعة المستقيمة المرسومة بين متوسطى أي ضلعين في مثلث ............... الضلع الثالث. - هذه القطعة تسمى "الوتر المتوسط" أو "الوتر المتوسط في المثلث".
Hexagonal Pyramid
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.
Area Square Quartercircle
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.
Lateral Area Pyramid
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
Area Confirmation
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
Map Distance
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
Area Shapes Badge
1. **Problem 5(i): Area of shaded section in a square with quarter circle** - Given: Square side = 7 cm, quarter circle radius = 7 cm.
Perspective Projection
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 $B=(1,2,1)$.
Hexagon Area
1. **Problem statement:** Two similar hexagons have corresponding sides of 2 cm and 5 cm. (a) Find the ratio of their areas.
Similar Hexagons
1. **State the problem:** We have two similar hexagons with corresponding sides measuring 2 cm and 5 cm. 2. **Understand similarity:** Similar polygons have corresponding sides in
Triangle Area
1. **Stating the problem:** We need to construct triangle PQR with sides PQ = 5.2 cm, QR = 6 cm, and angle \(\angle Q = 60^\circ\). Then, construct another triangle SPQ with side P
Hypotenuse Calculation
1. **State the problem:** We need to find the hypotenuse of a right triangle with legs measuring 2.0 and 2.35. 2. **Formula used:** The Pythagorean theorem states that for a right
Hypotenuse Calculation
1. **State the problem:** We need to find the hypotenuse of a right triangle with legs measuring 2.17 and 3.25. 2. **Formula used:** The Pythagorean theorem states that for a right
Hypotenuse Calculation
1. **State the problem:** We need to find the hypotenuse of a right triangle with legs measuring 2.0 and 2.35. 2. **Formula used:** The Pythagorean theorem states that for a right
Hypotenuse Calculation
1. **State the problem:** We need to find the hypotenuse of a right triangle with legs measuring 2 and 2.35. 2. **Formula used:** The Pythagorean theorem states that for a right tr
Hypotenuse Calculation
1. **State the problem:** We need to find the hypotenuse of a right triangle with legs measuring 2.17 and 3.25. 2. **Formula used:** The Pythagorean theorem states that for a right
Triangle Enlargement
1. **State the problem:** We have triangle PQR with vertices P(3,4), Q(5,3), and R(4,1).