Question

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

Answer 1

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=(63inches)/(2\pi)`

`r=((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 * ((31.5)/(\pi)inches)^2`

The value of
`\pi=3.14`

So,

Area of circle =
`3.14 * ((31.5)/(3.14)inches)^2`

Area of circle =
`316.0inches^2`

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