Question

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

Answer 1

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 2

Answer : The area of clock is $316.0inches^2$

Step-by-step explanation :

As we know that:

Circumference of circle = $2\pi r$

Area of circle = $\pi r^2$

Given:

Circumference of circle or clock = 63 inches

First we have to calculate the radius of clock.

$2\pi r=63inches$

$r=\frac{63inches}{2\pi}$

$r=(\frac{31.5}{\pi})inches$

Now we have to determine the area of clock.

Area of circle = $\pi r^2$

Now put the value of 'r' in this formula, we get the area of clock.

Area of circle = $\pi \times (\frac{31.5}{\pi}inches)^2$

The value of $\pi=3.14$

So,

Area of circle = $3.14 \times (\frac{31.5}{3.14}inches)^2$

Area of circle = $316.0inches^2$

Therefore, the area of clock is $316.0inches^2$