A training field is formed by Joining a rectangle and two semicircles, as shown below. The rectangle is 96 m long and 74 m wide.Find the area of the training fleld. Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

A training field is formed by Joining a rectangle and two semicircles as shown below The rectangle is 96 m long and 74 m wideFind the area of the training fleld class=

Respuesta :

To calculate the area of the training field, the first step is to calculate the area of the rectangular portion. The formula for calculating the area of a rectangle is expressed as

Area = length x width

From the information given,

length = 96

width = 74

Area of rectangular portion = 96 x 74 = 7104

The two semicircles would add up to form a complete circle because a semicircle is half of a circle. The diameter of the circle would be the width of the rectangular portion. The formula for calculating the area of a circle is expressed as

Area = pi x radius^2

From the information given,

pi = 3.14

diameter = 74

radius = diameter/2 = 74/2 = 37

By substituting the values into the formula, we have

Area of the two semicircular portions = 3.14 x 37^2 = 4298.66

Area of the training field = area of rectangular portion + area of the two semicircular portions = 7104 + 4298.66

Area of the training field = 11402.66 m^2