Chord 3

What is the radius of the circle where the chord is 2/3 of the radius from the center and has a length of 10 cm?

Correct answer:

r =  6.71 cm

Step-by-step explanation:

$$\begin{gathered} r^2=(10\mathrm{/}2{)}^2+(2\mathrm{/}3r{)}^2 \\ {r}^2(1-4\mathrm{/}9)=5^2 \\ r={\displaystyle \frac{5}{\sqrt{1-4\mathrm{/}9}}} \\ r=6.71\text{ cm} \end{gathered}$$

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