The report at hand peers into the largely unexplored landscape of Rust development to reveal crucial insights and key findings. The Rust developers' industry, although relatively young, has established a reputation for innovation and disruption in the existing software development ecosystem. This report provides a comprehensive analysis based on meticulously gathered data and cultivated insights.

Rust, for the uninitiated, is a statically-typed, high-level, and multi-paradigm programming language designed for creating systems with the 'blazing speed' of C/C++ but imposed with higher-level safeguards. Rust’s unique selling proposition lies in its focus on 'zero-cost abstractions,' 'minimal runtime,' and 'improved memory safety' without employing garbage collection. The relevance of Rust emerges from the increasing need for software applications that are not only fast but also safe from prevalent memory-related bugs.

In the world of programming languages, Rust is a relatively new entrant. It was first conceived by Graydon Hoare at Mozilla Research in 2010, with contributions from the open-source community and other key developers. In the past decade, despite its youthfulness, Rust has experienced substantial growth and adoption.

The Rust developers' industry has witnessed an increasing demand due to the unique advantages that Rust provides. In fact, the 2020 StackOverflow Developer survey identified Rust as the 'most loved programming language' for the fifth year running. This is a testament to the growing affinity developers have for Rust's capacity to offer granular control over system resources while maintaining high-level language abstractions.

The geographical distribution of Rust developers is broad, with representation from the Americas, Europe, Africa, Asia, and Oceania. This global presence highlights the universal appeal of Rust, transcending geographical boundaries, and the fact that the language’s development is driven by a vibrant, diverse, and inclusive community.

In terms of sectors, Rust finds applications in a broad array of industries. The video game industry, for instance, leverages Rust for its powerful performance, memory safety, and predictable run-time behavior. Web development is another sector where Rust is gaining traction due to its robustness and reliability. In addition, the burgeoning field of Internet of Things (IoT) also finds Rust advantageous, given its ability to operate with memory and power efficiency.

The Rust ecosystem is undergoing constant evolution, thanks to continuous contributions from the community. A pivotal part of this evolution includes a vibrant array of tools and frameworks, like the Cargo package manager and the Rocket web framework, that significantly enhance development efficiency.

However, Rust’s adoption is not without challenges. The language presents a steep learning curve, particularly due to its complex syntax and unique concepts such as ownership and borrowing. Furthermore, as a relatively young language, Rust lacks the extensive libraries and frameworks available to older languages.

In conclusion, the Rust developers' industry report unveils a landscape filled with potential and teeming with innovation. The insights presented here are crucial for stakeholders and decision-makers contemplating the adoption of Rust or looking to invest in this dynamic space. As Rust continues to mature and grow, these insights will become increasingly vital in shaping the future direction of software development.