Find the perimeter for the following figures. All arcs shown

Odompombagnom6ng

Odompombagnom6ng

Answered question

2022-02-28

Find the perimeter for the following figures. All arcs shown are the arcs of circles. Either leave in terms of π by entering answers with the word pi, or use 3.14 for pi and round your answer to the nearest 10th.

Answer & Explanation

shotokan0758s

shotokan0758s

Beginner2022-03-01Added 8 answers

1) There are 2 semi circles and one rectangle in the given figure.
So, from the given figure we can say,
total perimeter=2(perimeter of one semi circle)+2(length of rectangle)
perimeter of semi circle =πr
where, r=radius of circle=2π
perimeter of semi circle =2π units
Total perimeter =2(perimeter of semi circle)+2(length of rectangle)
=4π+16 units
2) We can see there is a square with corners cut in circular shape.
So, total perimeter =(perimeter of inner square of side length10)+4(arc length of corner circles)
=(perimeter of inner square of side length10)+4(circumference of quarter circle)
circumference of quarter circle =14(2πr)=πr2 units
perimeter of square =4(side length) units
side of square =10 units
radius of circle =16102=3 units
total perimeter =4(side)+4(πr2)
=4(10)+4(3π2)
=40+6π units
1) 4π+16
2) 6π+40

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