Question

10 ft

8 ft
D
Hint: Circumference
of a circle: C = rid
Find the perimeter of this figure to the
nearest hundredth. Use 3.14 to
approximate n.
P = [?] ft
Notice that only half of the circle is included in the figure!
Enter

Answer 1

The perimeter of given figure = 56.56 ft

Explanation:

Step(i):-

From diagram

The length of the rectangle = 10 ft

The width of the rectangle = 8 ft

Perimeter of the rectangle

= 2 ( l+w)

= 2 ( 10 + 8)

= 2 × 18

= 36

Step(ii):-

The semi circle is included in the given diagram

Now we will find the perimeter of semicircle

We know that

perimeter of the circle

p = 2πr + d

perimeter of the semicircle

`P = (1)/(2) 2\pi r + d`

P = πr + 2 r (∵ d = 2 r)

Step(iii):-

From diagram the diameter of semicircle is equal to the width of the rectangle

d = 8

d = 2 r = 8

The radius of the circle 'r' = 4

perimeter of the semicircle

P = πr + 2 r

P = 3.14 ( 4) + 8

P= 20.56

Conclusion:-

The perimeter of given figure

= perimeter of rectangle + perimeter of semicircle

= 36 + 20.56

=56.56 ft