In the figure, the radius of the partial circle with center a is 4 feet.
the perimeter of the figure is feet, and the area of the figure is square feet.
assume π = 3.14, and round your answers to the nearest hundredth.
options for blank 1 are: 18.84, 24.50, 26.84, 75.36
options for blank 2 are: 11.42, 22.84, 45.68, 53.68

Step 1

Find the perimeter of the figure

we know that

the perimeter of a circle is equal to the circumference

where

C is the circumference of the circle

r is the radius of the circle

we have

substitute

In the figure

the triangle ABC is a right triangle

Applying the Pythagoras Theorem find the length side CB

we have

substitute the values

The perimeter of the figure is equal to of the circumference plus the length side CB

so

therefore

the answer Part a) is

the perimeter of the figure is

Step 2

Find the area of the figure

we know that

the area of a circle is equal to

where

r is the radius of the circle

we have

substitute

the area of the triangle ABC is equal to

in this problem

substitute the values

the area of the figure is equal to of the area of the circle plus the area of the triangle ABC

therefore

the answer Part b) is

the area of the figure is

1) is right

step-by-step explanation: