Answer:
198.5 cm²
Step-by-step explanation:
From the figure above we can treat the two semi circles as 1 circle.
Now, the diameter is 10 cm
Thus;
Radius; r = 10/2
r = 5cm
Now, formula for area of a circle is;
A = πr²
Thus;
Area of 2 semi circles = Area of 1 circle = π × 5²
A_circle = 78.54 ≈ 78.5 cm²
When we take out the 2 semi circles, what we have left is a rectangle.
Now, the length of the rectangle will be;
Length; L = 22 - 5 - 5 = 12 cm
*This is because the radius of the semi circle is 5 and distance from the edge of the 22 cm length to the centre of the semi circle is 5 cm
Thus, area of rectangle is given by;
A_rect = LW
W in the image is 10 cm
Thus;
A_rect = 12 × 10
Total area of shape is;
A_total = 120 + 78.5
A_total = 198.5 cm²
