Answer: 64pi square inches
Step-by-step explanation:
The diameter = 2 x radius. So:
16 = 2r
r = 8
The radius of the circle is 8 inches.
The area of a circle is pi(r^2). Plugging in 8 for r (radius):
Area = pi(8^2)
= 64pi
So, the area is 64pi square inches.
Answer:
[tex]\huge\boxed{\text{Area}=64\pi }[/tex]
Useful Information:
Area of a circle=[tex]\pi*r^2[/tex]
Diameter=2*r
Step-by-step explanation:
The first step in order to calculate the area is to find the radius of the circle. We can do this by dividing the diameter of 16 inches by 2, giving us a radius of 8 inches.
To work out the area, you would substitute this value for the radius calculated previously into the formula for the area of a circle, [tex]\pi*8^2[/tex], giving us [tex]64\pi[/tex].
1) Find the radius.
[tex]\frac{16}{2}=8[/tex]
2) Calculate the area of the circle.
[tex]\pi*8^2=64\pi[/tex]
