He needs to make a large circular wooden clock that measures about 6 feet in circumference. Write an equation he can use to find r the radius of the clock
C = pi * r^2
6 = 3.14 * r^2
6 - 3.14 = r^2
2.86 = r^2
1.69 = r
C = 2pi*r = 6,
2*3.14*r = 6,
6.28r = 6,
r = 6 / 6.28 = 0.96 ft.
To find the radius of a circular clock, you can use the formula for the circumference of a circle, which is given by:
C = 2πr
Where:
C is the circumference of the circle.
r is the radius of the circle.
π (pi) is a mathematical constant, which is approximately equal to 3.14159.
In this case, you are given that the circumference of the clock is 6 feet.
So, the equation to find the radius (r) of the clock becomes:
6 = 2πr
To calculate the radius (r), you can rearrange this equation by solving for r. Divide both sides of the equation by 2π:
r = 6 / (2π)
This simplifies to:
r ≈ 6 / 6.283 ≈ 0.955 feet (rounded to three decimal places)
Therefore, the approximate radius of the clock should be 0.955 feet.