Find the Circumference.
a) Give an exact answer in terms of pi.
42pi C=pi*d=pi.pi*42=42pi.
Use pi~22/7,and express your answers as a fraction in lowest terms.
I have no idea what your line
42pi C=pi*d=pi.pi*42=42pi.
is supposed to say or mean.
Are you saying the
C = 42π ??
in that case the radius would be 21 units
and the answer is in exact form
now if we use the approximation of 22/7 for π
we get C = 42(22/7) = 132
42π expressed as a decimal correct to 6 decimals would be 131.946892
To find the circumference, you can use the formula C = π * d, where C represents the circumference and d represents the diameter.
Option a:
Given the diameter (d) as 42π, you can substitute it into the formula. So, C = π * 42π.
Simplifying this expression, we have C = π * π * 42. Using the fact that π is approximately equal to 22/7, C ≈ (22/7) * (22/7) * 42.
To express the answer as a fraction in its simplest form, we can multiply the numerators and denominators. C ≈ (22 * 22 * 42) / (7 * 7).
Calculating the numerator and denominator, we get C ≈ 19368 / 49 which is approximately 394.857 (rounded to three decimal places).