in circle m, diameters jl and hk each measure 16 centimeters. what is the approximate length of minor arc…

Explanation:

Step1: Find the radius

The diameter is 16 cm, so the radius $r=\frac{16}{2}=8$ cm.

Step2: Find the central - angle of arc JH

The central - angle of arc JH is $25^{\circ}$. First, convert the angle from degrees to radians. We know that to convert degrees to radians, we use the formula $\theta_{rad}=\frac{\pi}{180}\times\theta_{deg}$. So, $\theta=\frac{25\pi}{180}=\frac{5\pi}{36}$ radians.

Step3: Use the arc - length formula

The arc - length formula is $s = r\theta$, where $s$ is the arc length, $r$ is the radius, and $\theta$ is the central angle in radians. Substitute $r = 8$ cm and $\theta=\frac{5\pi}{36}$ into the formula: $s=8\times\frac{5\pi}{36}=\frac{10\pi}{9}\approx\frac{10\times 3.14}{9}\approx3.5$ cm.

Answer:

3.5 cm