Question

A rose garden is designed by joining a rectangle and a semicircle, as shown below. The rectangle is 25ft long and 16ft wide. If the gardener wants to build a fence around the garden, how many feet of fence are required? (Use the value 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer.)

Answer 1

so hmm if you see the picture below, notice, the radius is just half the diameter of the semi-circle, the diameter is 16, so the radius is 8

the perimeter of the figure is how many units will be required for the fence, since the fence will be enclosing the garden

so... 25 + 16 + 25 + [ circumference of the semi-circle ]

recall the circumference of a circle is 2 π r, r = radius

so the circumference of a semi-circle, will be half that, or just πr