Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a training field is formed by joining a rectangle and two semicircles, …

Question

a training field is formed by joining a rectangle and two semicircles, as shown below. the rectangle is 96 m long and 73 m wide. what is the length of a training track running around the field? (use the value 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.)

Explanation:

Step1: Find circumference of circle

The two semi - circles form a full circle with diameter $d = 73$ m. Circumference $C=\pi d=3.14\times73$.

Step2: Add lengths of rectangle

The length of the rectangle is used twice in the track length. Track length $L = C+2\times96=3.14\times73 + 2\times96$.
$L=229.22+192$.

Answer:

$421.22$ m