Question

sort the given information into their correct categories by identifying which measurements correspond to the outer semicircle and the inner semicircle. a running track press on an item in the answer box, and then press on the box under the corresponding category. to remove an item, you can press on the box and the trash can icon to the right of the item you want to remove. you will not use all of the choices in the answer bank. outer semicircle inner semicircle answer bank the diameter is 92.52 m. the circumference is 145.2564 m. the diameter is 73 m. the circumference is 114.61 m.

Explanation:

Step1: Calculate the diameter of the outer semicircle

The diameter of the inner semicircle is \(73m\). The width of the track is \(9.76m\). So the diameter of the outer semicircle \(d = 73+9.76\times2=73 + 19.52=92.52m\)

Step2: Calculate the circumference of the inner semicircle

The formula for the circumference of a semicircle is \(C=\frac{\pi d}{2}\). For the inner semicircle with \(d = 73m\), \(C=\frac{3.14\times73}{2}=114.61m\)

Step3: Calculate the circumference of the outer semicircle

For the outer semicircle with \(d = 92.52m\), \(C=\frac{3.14\times92.52}{2}=145.2564m\)

Answer:

outer semicircle: The diameter is \(92.52m\), The circumference is \(145.2564m\)
inner semicircle: The diameter is \(73m\), The circumference is \(114.61m\)