Answer to Question #254747 in Geometry for Myriel

Question

This is the first year Ralph is playing softball,he has been practicing per batting On his last swing the bat made an arc with a radius of 45 inches and swept through 250° of rotation Assuming the arc is circular what is the distance the tip of the bat travels to the nearest inch? How many feet is this rounded to the nearest foot?

Answer 1

$L=\pi r \dfrac{\alpha}{180^{\circ}}\\\$

$r=45 \ inches$ , $\alpha=250^{\circ}$

Then,

$L=\pi \times 45\times\dfrac{250^{\circ}}{180^{\circ}}=62.5\pi\ \ inches$

Now, In feet

$62.5\pi \ inches =196.35 \ inches$

We know that , 1 feet = 12 inches

So, 1 inch = 1/12 feet

hence, 196.35 inches = $196.35\times \dfrac{1}{12}=16.362\ \ feets\ \approx 16 foot$