Question

question 3 of 25 to the nearest hundredth, what is the circumference of a circle with a radius of 7 units?
a. 43.98 units
b. 21.99 units
c. 35.75 units
d. 153.94 units

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius of the circle.

Step2: Substitute the given radius into the formula

We are given that the radius \( r = 7 \) units. Substituting this into the formula, we get \( C = 2\times\pi\times7 \).

Step3: Calculate the value

First, calculate \( 2\times7 = 14 \), so \( C = 14\pi \). Using the approximation \( \pi \approx 3.14159 \), we have \( C \approx 14\times3.14159 \).
Calculating \( 14\times3.14159 = 43.98226 \).

Step4: Round to the nearest hundredth

Rounding \( 43.98226 \) to the nearest hundredth gives \( 43.98 \).

Answer:

A. 43.98 units