function area = annulus_sector_area_2d ( r1, r2, theta1, theta2 ) %*****************************************************************************80 % %% ANNULUS_SECTOR_AREA_2D computes the area of an annular sector in 2D. % % Discussion: % % An annular sector with center (XC,YC), inner radius R1 and % outer radius R2, and angles THETA1, THETA2, is the set of points % (X,Y) so that % % R1**2 <= (X-XC)**2 + (Y-YC)**2 <= R2**2 % % and % % THETA1 <= THETA ( X - XC, Y - YC ) <= THETA2 % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 02 August 2005 % % Author: % % John Burkardt % % Parameters: % % Input, real R1, R2, the inner and outer radii. % % Input, real THETA1, THETA2, the angles. % % Output, real AREA, the area. % area = 0.5 * ( theta2 - theta1 ) * ( r2 + r1 ) * ( r2 - r1 ); return end