Question

Can someone plz help me with number 17 plz show work bc I’m not understanding this plzz and thank you

Answer 1

answer: 39.3 feet

explanation:

- because you need to find the length of an arc, you should think about circumference. the formula for that is 2πr, where r is the length of the circle's radius.

- you don't need the whole circumference, though, so you'll need a fraction (in this case, it's 225/360, because 225° is the measure of the arc's angle and 360° is the measure of a full circle's rotation)

- multiply the circumference by this fraction to get the length of the arc.

work:

$r = 10 ft\\C (circumference) = 2\pi r = 2\pi (10) = 20\pi \\\\20\pi * 225/360\\20\pi * 15/24\\= \frac{300\pi}{24} = 12.5\pi$

enter 12.5π into a calculator and it's about 39.3 after being rounded to the nearest tenth.