Based in the given figure, we are being asked to solve the area and the perimeter of the semicircle. As we evaluate the problem, we can get a radius measurement from the rectangle. Hence, the radius is half of 4 inches which is 2 inches and since we know the formula for solving the area of a circle which is Area = pi*r², dividing the result by two, we able to get the area of the half of a circle which is equivalent to the area of the semicircle.
Area of circle = pi*r²
Area of circle = 3.14*(2)² = 12.56
Therefore, area of semicircle is = (1/2) 12.56
Area of semicircle = 6.28 inches²
Solving for the perimeter:
Semicircle Perimeter = 1/2 * pi* d+d where d is the diameter (diameter = 4 inches)
Semicircle Perimeter = 1/2 * 3.14*4+4
Semicircle Perimeter = 10.28 inches