Question

part 1 of 2 (a) find the exact circumference of the circle. write your answer in terms of π. exact circumference: 2π part 2 of 2 (b) using a calculator, approximate the circumference of the circle. to do the approximation, use the π button on the calculator, and round your answer to the nearest hundredth. approximate circumference: 6.28 yd yd² yd³

Explanation:

Step1: Recall circumference formula

The formula for the circumference of a circle is $C = 2\pi r$ or $C=\pi d$. Since the exact - circumference is given as $2\pi$, we assume the radius $r = 1$ (because $C = 2\pi r$ and when $r = 1$, $C=2\pi\times1=2\pi$).

Step2: Approximate using calculator

To approximate the value of $2\pi$, we use the $\pi$ button on the calculator. We know that $\pi\approx3.14159$. Then $2\pi\approx2\times3.14159 = 6.28318$. Rounding to the nearest hundredth, we get $6.28$.

Answer:

(a) The exact circumference is $2\pi$ yards.
(b) The approximate circumference is $6.28$ yards.