Question is Incomplete, Complete question is given below.
A coffee shop sign is in the shape of a circle. The sign measures 18 inches across in diameter. Which measurement is closest to the area of the sign in square inches?
G. 101.36 in2
F. 56.52 in2
H. 188.78 in2
J. 254.34 in2
Answer:
J. [tex]254.34\ in^2[/tex].
Step-by-step explanation:
Given:
Diameter of the coffee shop sign = 18 inches
Now radius is half of the diameter.
Radius of the sign [tex]r= \frac{1}{2}\times 18 =9\ inches[/tex]
We need to find the area of the sign.
Solution:
Now we know that;
Area of circle is calculated by π times square of the radius.
framing in equation form we get;
Area of the sign = [tex]\pi r^2 =\pi 9^2 = 254.34\ in^2[/tex]
Hence Area of the coffee shop sign is [tex]254.34\ in^2[/tex].