Math Problem Statement

The original question contains algebraic equations and circle-related formulas in Hindi. Example problems include 3(2x + 1) = 1 and circumference formulas for a circle.

Solution

The image you uploaded appears to contain mathematical content in Hindi. It includes formulas related to circles and some algebraic equations. Let me summarize and analyze what is visible:

Part 1: Circle Formulas (in a tabular format)

The table seems to define the following quantities related to a circle:

  1. त्रिज्या (r) — Radius (r): The symbol rr represents the radius of the circle.
  2. व्यास (d) — Diameter (d): The relationship d=2rd = 2r is shown, which indicates that the diameter is twice the radius.
  3. परिधि (c) — Circumference (c): The formula c=πdc = \pi d is provided, which shows that the circumference of a circle is the product of π\pi and the diameter.

Part 2: Algebraic Equations

It also contains algebraic problems. Some examples I could see include:

  1. 3(2x+1)=13(2x + 1) = 1
  2. 34x(x+6)=35\frac{3}{4} x - (x + 6) = 35

Steps to solve the algebraic equations:

  1. Equation (i): 3(2x+1)=13(2x + 1) = 1 6x+3=16x + 3 = 1 Subtract 3 from both sides: 6x=136x = 1 - 3 Simplifying: 6x=26x = -2 Divide by 6: x=26=13x = \frac{-2}{6} = \frac{-1}{3}

  2. **Equation (ii): ( \frac{3}{4}x -

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Math Problem Analysis

Mathematical Concepts

Algebra
Circle Geometry

Formulas

Circumference of a circle: c = πd
Diameter of a circle: d = 2r
Equation solving: 3(2x + 1) = 1

Theorems

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Suitable Grade Level

Grades 8-10