The area of the circle is A. 176 square centimeters.
Step-by-step explanation:
Step 1:
The area of any given circle is π times the square of the radius.
The radius of this circle is equal to 15 centimeters, so the radius is [tex]\frac{15}{2} = 7.5[/tex] centimeters.
The area of the circle = [tex]\pi r^{2}[/tex].
Step 2:
By taking π = 3.1415, we get
The area of the given circle = [tex]3.1415 (7.5^{2} ) = 3.1415(56.25) = 176.7093.[/tex]
The area of the circle with a radius of 7.5 cm is 176.7093 square cm. Rounding this off, we get the area as 177 square cm. The closest option to the area is option A.