Answer:
Area of a circle(A) is given by:
[tex]A= \pi r^2[/tex] ....[1]
where,
r is the radius of the circle.
As per the statement:
From the given image of circle:
Diameter(d) = 28 cm
Using formula:
[tex]d = 2r[/tex]
then;
[tex]28 = 2r[/tex]
Divide both sides by 2 we have;
14 cm = r
or
r = 14 cm
Substitute r =14 cm and use [tex]\pi = \frac{22}{7}[/tex] in [1] we have;
[tex]A = \frac{22}{7} \cdot 14 \cdot 14 = 22 \cdot 2 \cdot 14 = 44 \cdot 14 = 616 cm^2[/tex]
therefore, the area of the circle is, 616 square cm
