A DODECAHEDRON IS INSCRIBED ON THE INSIDE OF A CIRCLE.THE CIRCLE'S AREA IS 36pi. WHAT S THE AREA OF THE DODECAHEDRON?
+128731 I think you mean a "dodecagon"......which is a 12-sided figure.....{a "dodecahedron" is a 3-dimensional figure}
Assuming the dodecgon is regular......
Since the circle's area is 36pi, we have that the circle's radius must be = 6
So....the area is given by 12 equal triangles with apex angles = 30 degrees and whose sides = 6
12*(1/2)(6)(6)sin30 =
6^3 (1/2) = 108 sq. units
+128731 I think you mean a "dodecagon"......which is a 12-sided figure.....{a "dodecahedron" is a 3-dimensional figure}
Assuming the dodecgon is regular......
Since the circle's area is 36pi, we have that the circle's radius must be = 6
So....the area is given by 12 equal triangles with apex angles = 30 degrees and whose sides = 6
12*(1/2)(6)(6)sin30 =
6^3 (1/2) = 108 sq. units
