Question 1036317
We need to find the area of the cross, subtract it from the area of the circle
From the drawing we know the width of the cross = {{{4/3}}} cm
Area of the cross
A = 4*{{{4/3}}} + {{{2(4/3)^2}}} = 8.889 sq/cm is the cross
:
Find the radius using the right triangle formed by half the width of the cross, half the length of the cross and the radius (hypotenuse)
r = {{{sqrt(2^2 +(2/3)^2))}}}
r = 2.108 is the radius
Find the area of the circle
A = {{{pi*2.108^2}}}
A = 13.962 sq/cm is the circle
:
13.962 - 8.889 = 5.073 sq/cm is the shaded area