Question

A jewelry company prints a hidden logo watermark. The watermark is a chord that is 0.8 cm from the center of a circular ring that has a r = 3 cm radius. What is the length of the chord to the nearest tenth?

Answer 1

5.8 cm

Explanation:

Let's call the length of the chord 'c'.

To find the length of the chord, we can use the Pythagoras' theorem in the triangle ABC as shown in the image attached.

r^2 = (c/2)^2 + 0.8^2

9 = c^2/4 + 0.64

c^2/4 = 8.36

c^2 = 33.44

c = 5.78 cm

Rounding to nearest tenth, we have that the length of the chord is c = 5.8 cm.