The face of a clock has a circumference of 63 in. What is the area of the face of the clock?

Answer:The area of the clock [tex]= 315.41\ inch^{2}[/tex]Step-by-step explanation:We have been given the face of the clock that is [tex]63\ in[/tex]So that is also the circumference of the clock.Since the clock is circular in shape.So [tex]2\pi(r)=63\ inch[/tex]From here we will calculate the value of radius [tex](r)[/tex] of the clock that is circular in shape.Then [tex]2\pi(r)=63\ inch =\frac{63}{2\pi} = 10.02\ in[/tex]Now to find the area of the clock we will put this value of (r) in the equation of area of the circle.Now [tex]\pi (r)^{2}=\pi(10.02)^{2}=315.41\ in^{2}[/tex]So the area of the face of the clock =[tex]315.41\ in^{2}[/tex]