Question

Find the arc length of the semicircle. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answer 1

Answer:

$3.14r$ or $\pi r$

Step-by-step explanation:

Given:

A semicircle.

To find:

Arc length of the semicircle = ?

Solution:

Formula for angle subtended by an arc on the center of circle is given as:

$\theta = \dfrac{l}{r}$

where $l$ is the arc length and

$r$ is the radius of semicircle.

Angle of full circle is $2\pi$

So, angle of semicircle = $\pi$

Using the formula, we can see that:

$l = \theta \times r$

$\Rightarrow l = \pi \times r\\\\OR\\\Rightarrow l = 3.14r$

So, the answer is:

Arc Length of semicircle = $3.14r$ or $\pi r$