Here is an old geometry/measurement chestnut for you.

November 7, 2018 at 6:43 pm
(This post was last modified: November 7, 2018 at 6:49 pm by Whateverist.)
Draw a quarter circle and label the center point C and the points on either end of its arc, A and B.

Let the length of the quarter circle's radius = 1 unit

Now draw the circle with diameter AB, and label another point on this circle D such that point D is not inside the original quarter circle CAB.

Find the area of circle ABD outside of quarter circle CAB. Place answer inside hide tags and justify your result.

Let the length of the quarter circle's radius = 1 unit

Now draw the circle with diameter AB, and label another point on this circle D such that point D is not inside the original quarter circle CAB.

Find the area of circle ABD outside of quarter circle CAB. Place answer inside hide tags and justify your result.