Question

1. tamzin is designing a circular garden. she has enough supplies to make a garden with a circumference of 10 meters. what is the approximate diameter of her garden?

a. d ≈ 3.2 meters
b. d ≈ 31.4 meters
c. d ≈ 1.6 meters
d. d ≈ 28.8 meters

Explanation:

Step1: Recall circumference formula

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

Step2: Solve for diameter

We know $C = 10$ meters. Rearranging the formula for $d$, we get $d=\frac{C}{\pi}$. Substituting $C = 10$ and taking $\pi\approx3.14$, we have $d=\frac{10}{3.14}\approx 3.2$ meters.

Answer:

a. $d\approx3.2$ meters