Question

7 you are using wire to make a model of the olympic symbol (5 interlocking circles). if each circle has a radius of 35 cm, how much wire will you need?

Explanation:

Step1: Recall the formula for the circumference of a circle

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

Step2: Calculate the circumference of one circle

Given \( r = 35 \) cm, substitute into the formula: \( C = 2\times\pi\times35 = 70\pi \) cm.

Step3: Calculate the total wire needed for 5 circles

Since there are 5 interlocking circles, the total wire length \( L \) is \( 5\times C \). Substitute \( C = 70\pi \): \( L = 5\times70\pi = 350\pi \) cm. If we use \( \pi\approx3.14 \), then \( L\approx350\times3.14 = 1099 \) cm.

Answer:

The length of wire needed is \( 350\pi \) cm (or approximately \( 1099 \) cm).