An acute triangle has a circumcircle, as shown in image. Minor arcs are reflected about each side of the triangle. Do the three reflected arcs intersect at the same point?
Note: Share your reasoning...
A triangle has consecutive side and height lengths for some integer n, as shown in image. What is its perimeter?
Figure is made from a square, an equilateral triangle, and three semicircles. One semicircle has an area of 3 as shown -
What is the area of the lune?
In a circle of radius 1, an equilateral triangle is inscribed in the circle as shown. What is the area of the blue region?
A right triangle has a semicircles with radii of 3 and 4 on its legs, as shown. The semicircles intersect along the hypotenuse. What is the shaded area?
