Answer:
d = 24
Step-by-step explanation:
The area of a circle is given by A = π * r²
We are told the area of the clock is 144π.
Let's clear the formula for the radius:
r² = A / π
r² = 144π / π
r² = 144
r = √144
r = 12
The diameter is two times the radius, d = 2r = 2*12 = 24.
To find the diameter of the clock face, we can use the formula A = πr² and solve for r using the given area. The diameter can then be found by multiplying the radius by 2.
To find the diameter of the clock face, we need to find the radius of the clock first. The area of a circle is given by the formula A = πr², where A is the area and r is the radius. Given that the area of the clock face is 144π square feet, we can set up the equation as follows:
144π = πr²
To solve for r, we divide both sides of the equation by π:
144 = r²
Taking the square root of both sides, we find:
r = √144 = 12
Since the diameter is twice the radius, the diameter of the clock face is 2 times 12, which is 24 feet.
#SPJ12
To find Shawn's hourly wage, divide his total pay by the number of hours worked. To calculate the pay for 31 hours, multiply the hourly wage by 31.
To find Shawn's hourly wage, we divide his total pay by the number of hours worked. Therefore, the hourly wage is $123/20 = $6.15 per hour.
To calculate the amount of pay for 31 hours, we multiply the hourly wage by the number of hours worked. Therefore, the amount of pay for 31 hours is $6.15 * 31 = $190.65.
#SPJ2