Find the area of the segment shaded in blue in the figure of

Find the area of the segment (shaded in blue in the figure) of a circle whose radius is 5 feet, formed by a central angle of 70 degree. The area of the segment is approximately square feet.

Solution

Solution:

Area of shaded region = Area of sector - Area of segment

Now

Area of sector = /360 (r²) = 70/360 ( *5²)= 175/36 ()

Now area of segment = r² (/360 * -sin()/2) = 5² ( (70/360)* -sin(70)/2) = 3.525

Now area of shaded region =  175/36 () -3.525 = 11.75 ft²

Answer 11.75 ft²