Answer is
1) area of shaded area = 14.13 m
area of the remainder of circle = 345.87
2) hypotenuse = 10cm
Step by step
1)
Area of a circle is A=TT r^2
A= (3.14) (6)^2
A= 3.14 x 36
A= 113.04
Now we want to find out just the shaded area
There is 360 degrees in a circle
We are finding 45 degrees of 360 = 1/8
1/8 of 113.04 = 14.13 m
2) hypotenuse is found using formula
a^2 + b^2 = c^2
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
√100 = √c^2
10 cm = c