Question

GEOMETRY CHAPTER 11

ANSWER AND SHOW ALL YOUR WORK

DONT SEARCH IT UP IT COMES OUT WRONG

answer #2

Answer 1

20.9

Explanation:

We can find the length of arc AB by:

1. finding the total circumference of the circle
2. multiplying that by what fraction of the circumference the arc embodies

First, we can solve for the circumference of the circle using the formula:

`C=2\pi r`

↓ plugging in the given radius value (20)

`C = 2\pi(20)`

↓ simplifying

`C = 40\pi`

Next, to solve for the length of arc AB (denoted S) we can multiply this by the fraction of the circumference the arc embodies, which is the arc angle measure (60) divided by the total number degrees in a circle (360).

`S = 40\pi \cdot (60)/(360)`

↓ simplifying the fraction

`S = 40\pi \cdot (1)/(6)`

↓ approximating using a calculator

`S \approx 20.944`

↓ rounding to the nearest tenth

`\boxed{S \approx 20.9}`