Question

question 27 of 44
what is the circumference of a circular park with a radius of 100 meters?
(round your answer to the nearest tenth.)

a. 628.3 m

b. 1256.6 m

c. 314.1 m

d. 157.1 m

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 \( r = 100 \) meters. Substituting this into the formula, we get \( C = 2\times\pi\times100 \).

Step3: Calculate the value

First, calculate \( 2\times100 = 200 \), so \( C = 200\pi \). Using the approximation \( \pi\approx3.14159 \), we have \( C\approx200\times3.14159 = 628.318 \).

Step4: Round to the nearest tenth

Rounding \( 628.318 \) to the nearest tenth gives \( 628.3 \).

Answer:

A. 628.3 m