In the diagram, O is the center of a circle with radii OP=OQ=\(20\). What is the perimeter of the shaded region?
Since there are 360o in a circle and a 90o sector has been removed, 270o remain.
Therefore, you want 270o / 360o, or 3/4ths of the circumference (plus the two radii).
The formula for the circumference of a circle is: 2·pi·radius.
[ (3/4) · (2·pi·20) ] + [ 2·20 ] = the perimeter of the shaded region
Since there are 360o in a circle and a 90o sector has been removed, 270o remain.
Therefore, you want 270o / 360o, or 3/4ths of the circumference (plus the two radii).
The formula for the circumference of a circle is: 2·pi·radius.
[ (3/4) · (2·pi·20) ] + [ 2·20 ] = the perimeter of the shaded region