Answer:
11.59 cm²
Step-by-step explanation:
area of entire circle:
A = (3.14)(9.28²) = 270.41 cm²
area of 68.9° segment:
(68.9/360)(270.41) = 51.75 cm²
area of triangle:
the triangle is equilateral so both the corners opposite 68.9° are equal so they are = (180 - 68.9)/2 = 55.55° each.
1/2 the base will be:
cos 55.55 = b/9.28
b = 5.25, full base =10.5 cm
sin 55.55 = height/9.28
height = 7.65 cm
A = 1/2(10.5)(7.65) = 40.16 cm²
area of chorded section = 51.75 - 40.16 = 11.59 cm²
