Question

In Circle C, MLACB = 45° and AC = 9 inches. Find the arc length of AB.

(multiply by 7 (3.14) round to the nearest hundredth)

Answer 1

Given:

Given that the circle C, the measure of ∠ACB = 45° and AC = 9 inches.

We need to determine the arc length of AB

Arc length of AB:

The arc length of AB can be determined by using the formula,

`Arc \ length=((\theta)/(360) ) 2 \pi r`

substituting
`\theta=45` and r = 9, we get;

`Arc \ length=((45)/(360) ) 2 (3.14)(9)`

Multiplying the terms, we have;

`Arc \ length=(2543.4)/(360)`

Dividing, we get;

`Arc \ length=7.07`

Thus, the arc length of AB is 7.07 inches.

Hence, Option c is the correct answer.