Question

The diameter of the circle Is 10 centimeters and the measure of AB Is 72°. Find the length of ABRound your calculations to the nearest tenth. Complete your work in the space provided.

Answer 1

The length of an arc with measure x in a circle with diameter d is given by:

$l=2\cdot\pi\cdot(\frac{d}{2})\cdot(\frac{x\degree}{360\degree})$

Therefore, if d = 10 cm and x = 72°, we have:

$l=2\cdot\pi\cdot(\frac{10}{2})\cdot(\frac{72\degree}{360\degree})\approx6.3\text{ cm}$