The shaded region above represents 3/4 of the circle. If the radius of the circle is 3 inches, what is the perimeter of the sector in terms of ?

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31-03-2018
Mathematics

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The shaded region above represents 3/4 of the circle. If the radius of the circle is 3 inches, what is the perimeter of the sector in terms of ?

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Mrscomputator Mrscomputator · Answer 1 · 2018-04-10T03:40:11+02:00

To find the perimeter of the sector (3/4 of the circle) you will find what 3/4 of the circumference of the entire circle would be and then add the radius twice (for each of the two straight sides).

Here are the steps:

1. C = 3/4 x pi x d
0.75 x 3.14 x 6 in
C (3/4 of it) = 14.13 inches.

2. 14.13 inches + 3 inches + 3 inches = 20.13 inches

The perimeter of the sector is approximately 20.13 inches.