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Solve for the cirumference

Solve for the cirumference-example-1

2 Answers

3 votes

Answer:

5.625 ft.

Explanation:

1) Area of circle = π r ²

2) Circumference = π X D (D = diameter = 2 X radius)

3) Area of sector = (angle / 360) X area of circle

4) Length of arc = (angle/360) π d

using the 4th formula,

1.75 = (112/360) π d

π d = 1.75 / (112/360) = 45/8

d = (45/8) / π

= 1.79.

Circumference = π X D

= 1.79π

= 45/8 = 5.625 ft.

* I added extra working out in this just to give better understanding of how it works.

User Jurell
by
7.6k points
2 votes
1.75/112x360=5.625ft
User Reddi
by
8.2k points