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,

$Arc \ length=(\frac{\theta}{360} ) 2 \pi r$

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

$Arc \ length=(\frac{45}{360} ) 2 (3.14)(9)$

Multiplying the terms, we have;

$Arc \ length=\frac{2543.4}{360}$

Dividing, we get;

$Arc \ length=7.07$

Thus, the arc length of AB is 7.07 inches.

Hence, Option c is the correct answer.