Question

1. what is the circumference of a circle with a diameter of 55 centimeters? write your answer in terms of π and rounded to the nearest hundredth.

in terms of π:
rounded:

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle is \( C = \pi d \), where \( d \) is the diameter of the circle.

Step2: Substitute the given diameter into the formula (in terms of \( \pi \))

Given that the diameter \( d = 55 \) centimeters. Substituting into the formula \( C=\pi d \), we get \( C = 55\pi \) centimeters.

Step3: Calculate the numerical value (rounded to the nearest hundredth)

We know that \( \pi\approx3.14159 \). So, \( C = 55\times\pi\approx55\times3.14159 \).
Calculating \( 55\times3.14159 = 172.78745 \). Rounding this to the nearest hundredth (two decimal places), we look at the third decimal place which is 7. Since \( 7\gt5 \), we round up the second decimal place. So, \( 172.78745\approx172.79 \).

Answer:

In terms of \( \pi \): \( 55\pi \) centimeters
Rounded: \( 172.79 \) centimeters