Moons
Tasks.
1. Draw the picture above with length AB = 2 inches (angle ACB is a right angle).
2. Find the area of each of the two "moons", the light-colored outer crescents.
3. Construct a square with the same area as two "moons".
Solution
Area of triangle ACD = 1/2; and
has area 1/4πr2 = 1/4 π,
so
has area 1/4π - 1/2
has
area 1/2πR2=1/2π*((√2)/2)2=π*1/2
*2/4 = π/4, so
has
area π/4 - (π/4- 1/2) = 1/2, so
has
area 1/2 + 1/2 = 1.
So I need to draw one square inch!
