The area of a circle is found with the equation 2(pi)r²
To solve, you just multiply 2(3.14)(11²)
The approximate area of the entire clock is 759.88
After this, you just multiply that by 46 / 360 (or by .128)
The answer is approximately 97.26"
The area of a triangle is found with 1/2bh
The base of a regular triangle is just the side length, but to find the height you need to use the Pythagorean theorem. You cut the triangle in half, so you have a hypotenuse of 14", an base of 7", and an unknown height. 7² + b² = 14², and when you simplify you get 49 +b² = 196. You further simplify to get b² = 147, and the approximate square root is 12.12. You plug this into the original equation to get 1/2(14)(12.12), with a final answer of 84.84"
Same equation for the 3rd answer, 11² + b² = 189. You simplify and get 121 + b² = 189, simplify further to get b² = 68, or b = 8.25. The ratio for the triangles is 1:3, so you just multiply that by 3 and plug it into the area equation (1/2(33)(24.75). The final answer is approximately 408.375"