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((d)/(2))\cdot((x\degree)/(360\degree))`

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

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