Semi circles are constructed on the three sides of a triangle as shown below. Find the area of the shaded region
+37163 12 and 5 are the diameters of the two circles of the legs of the triangle
find hypotenuse by pythagorean theorem h^2 = 12^2 + 5^2 h = 13 = diameter of third semi circle
the radii of the semi circles are 6 2.5 and 6.5
Area of a full circle = pi r^2 area of semi circle = 1/2 pi r^2
add all of the semi circle areas together 1/2 pi ( 6^2 + 2.5^2 + 6.5^2 ) = ___________ units2
+37163 12 and 5 are the diameters of the two circles of the legs of the triangle
find hypotenuse by pythagorean theorem h^2 = 12^2 + 5^2 h = 13 = diameter of third semi circle
the radii of the semi circles are 6 2.5 and 6.5
Area of a full circle = pi r^2 area of semi circle = 1/2 pi r^2
add all of the semi circle areas together 1/2 pi ( 6^2 + 2.5^2 + 6.5^2 ) = ___________ units2
