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