Answer:
a) 156.25 cm^2 Â b) 221.67 cm^2 Â c) 65.42 cm^2
Step-by-step explanation:
a)
We know that the formula for the area of a quadrilateral is Length x Height (A = LH).
Since the length and height of a square is the same, L = 12.5cm and H = 12.5cm.
So we incorporate our formula for the area of a square into this situation:
A = 12.5 x 12.5
A = 156.25 cm^2
b)
We know that the formula for the area of a circle is Pi x radius squared (A = πr^2).
Since we know that the diameter of the circle is 16.8cm, we will use this to find the radius.
Radius can be found by halving the diameter (r = d/2).
So we incorporate our formula for radius into this situation:
r = 16.8/2
r = 8.4cm
Now that we have our radius, we can find the area of our circle.
So we incorporate our formula for the area of a circle into this situation:
A = π(8.4)^2
A = 221.6707776 = 221.67 cm^2
c)
We can see from the diagram that the shaded portion come mainly from the circle. Â So to find the area of the shaded part, we can simply subtract the area of the square, from the area of the circle (A of circle - A of square = Area of shaded part).
So we incorporate our formula for the area of the shaded part into this situation:
A = 221.67 cm^2 - 156.25 cm^2
A = 65.42 cm^2
