Answer:
You didn't provide the complete question as the radius or diameter of the circle isn't given. Please check the explanation below to see how to approach such questions.
Step-by-step explanation:
Area of a circle has a formula and it is given as:
Area = [tex]\pi r^{2}[/tex]
where [tex]\pi[/tex] is a constant and has a value of 3.14 or 22/7,
r is the radius of the circle (i.e the line drawn from the center of the circle to any point on the circle).
radius, r = diameter/2.
Example 1: Find the area of a circle with radius 7meters (7m) and correct to the nearest whole number. Use 3.14 or 22/7 for pi.
Solution:
[tex]Area = \pi r^{2} = \frac{22}{7} (7^{2})\\\\ Area = \frac{22}{7} (7)(7) = 22(7)\\\\ Area = 154squaremeters = 154m^{2}\\[/tex]
NB: The unit of area is always in square units. In our case square meters
Example 2: Find the area of a circle with diameter 7feet(7ft). Use 3.14 or 22/7 for pi.
Solution:
[tex]Area = \pi r^{2}[/tex]
But we were given the diameter not the radius.
Remember that I earlier said that radius, r = diameter/2 = [tex]\frac{7}{2}ft[/tex]
[tex]Area = \frac{22}{7}(\frac{7}{2} )^{2} = \frac{22}{7} (\frac{7}{2} )(\frac{7}{2} )[/tex]
[tex]Area = \frac{11(7)}{2} = \frac{77}{2} \\\\ Area = 36.5ft^{2}[/tex]
So, if you have questions that ask for area, ensure you have the radius and if the diameter is given instead of the radius, carry out the neccessary calculation i.e. Diameter/2 to obtain the radius and use the area formula.
