Consider circle C with radius 5 cm and a central angle measure of 60°.

Circle C is shown. Line segments R C and S C are radii with length of 5 centimeters. Angle R C S is 60 degrees.

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

Respuesta :

Answer:Rs=1/6, circumference of the circle=31.4 and Rs=5.2

Step-by-step explanation:

The circumference is 31 cm, and the length of the arc is 5.17cm.

How to get the circumference of the circle?

For a circle of radius R, the circumference is given by:

C = 2*pi*R

where pi = 3.14

In this case, the radius is 5 cm, so we have:

C = 2*3.14*5cm = 31cm

How to get the length of the arc?

For an arc defined by an angle θ, the length of the arc is given by:

L = (θ/360°)*C

Where C is the circumference.

In this case we have θ = 60° and C = 31cm, replacing that we get:

L = (60°/360°)*31 cm = 5.17 cm.

If you want to learn more about circles, you can read:

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