Link a Page to another Page using Views and taxonomy
You first need to create your other page, using Views, with a path pattern similar to the following:

projects_by_sector/%tid


This page can then be configured to display only content of type Projects and the fields you need (Title, Image, Sector Category, etc). Most importantly, you need to configure a contextual filter with the following configuration:


For the "Content: Sector Category" field
"Provide default value"
"Raw value from URL"
"Path component" => 2 (this follows from the example URL above)


Now back in your existing Views page for the Sectors list, you need to do some field rewriting. This can be done in a number of ways, the easiest would be to add the Sectors Taxonomy reference again as a field and do the rewriting on that field. You can do these using the following steps:


Add the "Content: Sector Category" field
Save with the default configuration
Rearrange your fields and move the new field below/after the "Content: Title" field. This is important so that the replacements token [title] will be available for the rewriting.
Hide the "Content: Title" field by selecting "Exclude from Display" on its configuration
Configure the new "Content: Sector Category" field
Select "Plain text" as "Formatter"
Expand "Rewrite Results"
Select "Rewrite the output of this field"
Enter the following in the "Text" textarea to use the title of your sector
[title]
Select "Output this field as a link"
Enter the following as the "Link path"
projects_by_sector/[field_sector_category-tid]


This is a rough idea, you need to tune your views page accordingly, but the end-result should be what you asked for. Hope this helps!