Consider circle C with radius 5 cm and a central angle
measure of 60°
What fraction of the whole circle is arc RS?
What is the approximate circumference of the circle?
cm
What is the approximate length of arc RS?
cm
C
60°
5 cm

Respuesta :

Answer:

1: A 1/6

2: B 31.4

3: C 5.2

Correct on Edge

1. Fraction of the circle formed by arc RS is: 1/6

2. Circumference of the circle is: 31.4 cm

3. Length of arc RS is: 5.3 cm.

What is the Length of an Arc?

Length of an arc = ∅/360 × 2πr

What is the Circumference of a Circle?

Circumference = 2Ï€r

Given the following:

  • r = 5 cm
  • ∅ = 60°

1. Fraction of the circle formed by arc RS = ∅/360 = 60/360 = 1/6

2. Circumference of the circle = 2Ï€r = 2Ï€(5) = 31.4 cm

3. Length of arc RS = ∅/360 × 2πr = 60/360 × 2π(5) = 5.3 cm.

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