How to Find Surface Area of a Circle with Removed Sector | Step-by-Step Guide

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To find the surface area of a circle after removing a sector, first calculate the area of the full circle using the formula πr², where the radius is 750mm. The sector removed has an angle of 36 degrees, which represents 1/10 of the circle's total area. Therefore, the area of the removed sector is (π/10)r². The remaining area is then calculated as πr² - (π/10)r², simplifying to (9/10)πr². The final formula for the net area after the sector removal is (9/10)π(750mm)².
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if some people could please allow me to bounce answers off them and show them my work by means of e-mail before I send it away to be marked, it would be highly appreciated, thanks

one problem I have at the moment is I need to find the surface area of a circle after a sector has been removed
the circle has a radius of 750mm and the segment is 36 degrees wide at the edge of the circle

thanks,
reuben

contact me directly mitz_fitz@hotmail.com
 
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Removing a sector of a circle with an arc of 36 degrees gives 9/10 the area of the full circle. 36 degrees is (360-36)/360 = 324/360 = 9/10. Thus the net area is

\pi r^2 - \frac{\pi}{10} r^2 with r = 750mm.
 

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