Question

His figure consists of a rectangle and a quarter circle. What is the perimeter of this figure? Use 3.14 for π .

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Answer 1

p = 2 + arc of quarter circle + 11 + (20 - 11) + 2 + 20

Find the arc of quarter circle

arc = 90°/360° × circumference of circle

arc = 1/4 × circumference of circle

arc = 1/4 × 2 × π × r

arc = 1/4 × 2 × 3,14 × 11

arc = 17.27

Input the arc

p = 2 + arc of quarter circle + 11 + (20 - 11) + 2 + 20

p = 2 + 17.27 + 11 + 9 + 2 + 20

p = 61.27

The perimeter of the figure is 61.27 cm

Explanation:

Answer 2

The perimeter is the sum of all external sides
p = 2 + arc of quarter circle + 11 + (20 - 11) + 2 + 20

Find the arc of quarter circle
arc = 90°/360° × circumference of circle
arc = 1/4 × circumference of circle
arc = 1/4 × 2 × π × r
arc = 1/4 × 2 × 3,14 × 11
arc = 17.27

Input the arc
p = 2 + arc of quarter circle + 11 + (20 - 11) + 2 + 20
p = 2 + 17.27 + 11 + 9 + 2 + 20
p = 61.27

The perimeter of the figure is 61.27 cm