Respuesta :
Formula for area of a circle: A= C^2/ 4 π
A= 64^2/ 4 π
A= 4,096/ 4 π
A=3,216.99087728
A≈3,216
The area of the clock is about 3,216 inches
Answer : The area of clock is [tex]316.0inches^2[/tex]
Step-by-step explanation :
As we know that:
Circumference of circle = [tex]2\pi r[/tex]
Area of circle = [tex]\pi r^2[/tex]
Given:
Circumference of circle or clock = 63 inches
First we have to calculate the radius of clock.
[tex]2\pi r=63inches[/tex]
[tex]r=\frac{63inches}{2\pi}[/tex]
[tex]r=(\frac{31.5}{\pi})inches[/tex]
Now we have to determine the area of clock.
Area of circle = [tex]\pi r^2[/tex]
Now put the value of 'r' in this formula, we get the area of clock.
Area of circle = [tex]\pi \times (\frac{31.5}{\pi}inches)^2[/tex]
The value of [tex]\pi=3.14[/tex]
So,
Area of circle = [tex]3.14 \times (\frac{31.5}{3.14}inches)^2[/tex]
Area of circle = [tex]316.0inches^2[/tex]
Therefore, the area of clock is [tex]316.0inches^2[/tex]
