Answer: Area = 7.855 in² , perimeter = 11.426 in.
Explanation:
The shape consists of two quadrants which later form a bigger semicircle and a small semicircle.
To find the area of the shape,
Formula for finding e area of a quadrant = πr²/4,
This is because a quadrant is ¹/₄ of a circle
Therefore, are of the two quadrant = (3.142 x 2² x 2)/4
= (3.142 x 4 x 2) /4
= 6.284 in².
Area of the smaller half circle = πr²/2, where r = 1 in because the diameter is 2 in.
Recall , 2r = a diameter
= (3.142 x 1²)/2
= 1.571 in²
Therefore total area of the shaded portion = 6.284 + 1.571
= 7.855 in².
The perimeter of the of the bigger half circle = the circumference
Formula for circumference of a semicircle = πd/2 or 2πr/2
= (3.142 x 4)/2
= 6.284 in.
Perimeter of the smaller half circle = (3.142 x 2)/2
= 3.142 in.
Perimeter of the shape = 6.284 + 3.142 + 2
= 11.426 in.